Generalizations of Whipple’s theorem on the sum of a \({}_ 3 F_ 2\). Zbl 0853.33005
Lavoie, J. L.; Grondin, F.; Rathie, A. K. |
|
1996
|
Extension of extended beta, hypergeometric and confluent hypergeometric functions. Zbl 1298.33004
Choi, Junesang; Rathie, Arjun K.; Parmar, Rakesh K. |
|
2014
|
Generalizations of classical summation theorems for the series \(_{2} F_{1}\) and \(_{3} F_{2}\) with applications. Zbl 1241.33006
Rakha, Medhat A.; Rathie, Arjun K. |
|
2011
|
Generalizations of Watson’s theorem on the sum of a \(_ 3F_ 2\). Zbl 0793.33005
Lavoie, J. L.; Grondin, F.; Rathie, A. K. |
|
1992
|
Generalizations of Dixon’s theorem on the sum of a \(_ 3F_ 2\). Zbl 0793.33006
Lavoie, J. L.; Grondin, F.; Rathie, A. K.; Arora, K. |
|
1994
|
Extensions of certain classical summation theorems for the series \(_2F_1\), \(_3F_2\) and with applications in Ramanujan’s summations. Zbl 1210.33012
Kim, Yong Sup; Rakha, Medhat A.; Rathie, Arjun K. |
|
2010
|
Generalization of extended beta function, hypergeometric and confluent hypergeometric functions. Zbl 1239.33003
Lee, Dong Myung; Rathie, Arjun K.; Parmar, Rakesh K.; Kim, Young Sup |
|
2011
|
A new generalization of generalized hypergeometric functions. Zbl 0946.33011
Rathie, Arjun K. |
|
1997
|
Generalization of Kummer’s second theorem with applications. Zbl 1224.33001
Sup Kim, Yong; Rakha, M. A.; Rathie, A. K. |
|
2010
|
On new reduction formulas for the Humbert functions \(\Psi_2\), \(\Phi_2\) and \(\Phi_3\). Zbl 1367.33015
Brychkov, Yu. A.; Kim, Yong Sup; Rathie, Arjun K. |
|
2017
|
On some new contiguous relations for the Gauss hypergeometric function with applications. Zbl 1217.33006
Rakha, Medhat A.; Rathie, Arjun K.; Chopra, Purnima |
|
2011
|
Extensions of Euler type II transformation and Saalschütz’s theorem. Zbl 1214.33003
Rakha, Medhat A.; Rathie, Arjun K. |
|
2011
|
New summation formula for \(_3F_2(\frac{1}{2})\) and a Kummer-type II transformation of \(_2F_2(x)\). Zbl 1146.33002
Rathie, Arjun K.; Pogány, Tibor K. |
|
2008
|
A study of generalized summation theorems for the series \({}_2F_1\) with an applications to Laplace transforms of convolution type integrals involving Kummer’s functions \({}_1F_1\). Zbl 1488.33021
Milovanovic, Gradimir V.; Parmar, Rakesh K.; Rathie, Arjun K. |
|
2018
|
A study of new hypergeometric transformations. Zbl 1157.33003
Rathie, Arjun K.; Rakha, Medhat A. |
|
2008
|
Certain hypergeometric identities deducible by using the beta integral method. Zbl 1283.33004
Choi, Junesang; Rathie, Arjun K.; Srivastava, Hari M. |
|
2013
|
On Kummer’s second theorem involving product of generalized hypergeometric series. Zbl 0842.33003
Rathie, Arjun K.; Nagar, Vishakha |
|
1995
|
Two results for the terminating \({}_3F_2(2)\) with applications. Zbl 1258.33002
Kim, Yong Sup; Choi, Junesang; Rathie, Arjun K. |
|
2012
|
A generalization of a formula due to Kummer. Zbl 1241.33009
Choi, Junesang; Rathie, Arjun K.; Srivastava, H. M. |
|
2011
|
An extension of Saalschütz’s summation theorem for the series \(_{r+3}F_{r+2}\). Zbl 1286.33006
Kim, Y. S.; Rathie, A. K.; Paris, R. B. |
|
2013
|
Another proof of Kummer’s second theorem. Zbl 0968.33006
Rathie, Arjun K.; Choi, Junesang |
|
1998
|
Certain Laplace transforms of convolution type integrals involving product of two special \(_{p}F_{p}\) functions. Zbl 1404.33004
Milovanović, Gradimir V.; Parmar, Rakesh K.; Rathie, Arjun K. |
|
2018
|
Applications of extended Watson’s summation theorem. Zbl 1424.33029
Kim, Young Sup; Gaboury, Sebastien; Rathie, Arjun Kumar |
|
2018
|
Reducibility of certain Kampé de Fériet function with an application to generating relations for products of two Laguerre polynomials. Zbl 1474.33015
Choi, Junesang; Rathie, Arjun K. |
|
2016
|
On a new class of integrals involving hypergeometric function. Zbl 1312.33013
Rakha, Medhat A.; Rathie, Arjun K.; Chaudhary, M. P.; Ali, Shoukat |
|
2012
|
On the reducibility of Kampé de Fériet function. Zbl 1298.33003
Choi, Junesang; Rathie, Arjun K. |
|
2014
|
On a reduction formula for the Kampé de Fériet function. Zbl 1315.33017
Kim, Yong Sup; Pogány, Tibor K.; Rathie, Arjun K. |
|
2014
|
On a new class of Laplace-type integrals involving generalized hypergeometric functions. Zbl 1432.33004
Koepf, Wolfram; Kim, Insuk; Rathie, Arjun K. |
|
2019
|
Certain summation formulas for Humbert’s double hypergeometric series \(\Psi_2\) and \(\Phi_2\). Zbl 1329.33005
Choi, Junesang; Rathie, Arjun Kumar |
|
2015
|
A short proof of Preece’s identities and other contiguous results. Zbl 0924.33003
Rathie, Arjun K. |
|
1997
|
On two Thomae-type transformations for hypergeometric series with integral parameter differences. Zbl 1295.33010
Kim, Yong Sup; Rathie, Arjun K.; Paris, Richard Bruce |
|
2014
|
An extension of the Euler-type transformation for the \(_3F_2\) series. Zbl 1151.33006
Rathie, A. K.; Paris, R. B. |
|
2007
|
On an extension of Edwards’s double integral with applications. Zbl 1438.33006
Kim, Insuk; Jun, Sungtae; Vyas, Yashoverdhan; Rathie, Arjun K. |
|
2019
|
Extension of some classical summation theorems for the generalized hypergeometric series with integral parameter differences. Zbl 1412.33013
Rathie, Arjun K.; Paris, R. B. |
|
2013
|
A study of I-functions of two variables. Zbl 1318.33025
Kumari, Shantha K.; Nambisan, T. M. Vasudevan; Rathie, Arjun K. |
|
2014
|
New Laplace transforms of Kummer’s confluent hypergeometric functions. Zbl 1255.44002
Kim, Yong Sup; Rathie, Arjun K.; Cvijović, Djurdje |
|
2012
|
On an extension of Kummer’s second theorem. Zbl 1277.33008
Rakha, Medhat A.; Awad, Mohamed M.; Rathie, Arjun K. |
|
2013
|
On a hypergeometric summation theorem due to Qureshi et al. Zbl 1279.33001
Choi, Junesang; Rathie, Arjun K. |
|
2013
|
A note on generalizations of Preece’s identity and other contiguous results. Zbl 0902.33003
Rathie, Arjun K.; Choi, Junesang |
|
1998
|
Kummer’s theorem and its contiguous identities. Zbl 1135.33007
Choi, Junesang; Rathie, Arjun K.; Malani, Shaloo |
|
2007
|
On a new class of Eulerian’s type integrals involving generalized hypergeometric functions. Zbl 1409.33004
Jun, Sungtae; Kim, Insuk; Rathie, Arjun K. |
|
2019
|
On a reducibility of the Kampé de Fériet function. Zbl 1326.33005
Rakha, Medhat A.; Awad, Mohammed M.; Rathie, Arjun K. |
|
2015
|
A new proof of Saalschütz’s theorem for the series \({}_3F_2(1)\) and its contiguous results with applications. Zbl 1235.33002
Kim, Yong Sup; Rathie, Arjun Kumar |
|
2012
|
Generalization of two theorems due to Ramanujan. Zbl 1277.33005
Kim, Y. S.; Rathie, A. K.; Paris, R. B. |
|
2013
|
Certain generalized fractional calculus formulas and integral transforms involving \((p, q)\)-Mathieu-type series. Zbl 1459.26007
Agarwal, Ravi P.; Kılıçman, Adem; Parmar, Rakesh K.; Rathie, Arjun K. |
|
2019
|
Further hypergeometric identities deducible by fractional calculus. Zbl 1300.33006
Gaboury, Sebastien; Rathie, Arjun K. |
|
2014
|
On an extension of Kummer-type II transformation. Zbl 1311.33005
Rakha, Medhat A.; Rathie, Arjun K. |
|
2014
|
A new class of double integrals involving generalized hypergeometric functions. Zbl 1371.33011
Choi, Junesang; Rathie, A. K. |
|
2017
|
On the distribution of the product and the sum of generalized shifted gamma random variables. Zbl 1291.62044
Rathie, Pushpa N.; Rathie, Arjun K.; Ozelim, Luan C. de S. M. |
|
2013
|
An evaluation of \(\zeta(2)\). Zbl 0934.11040
Choi, Junesang; Rathie, Arjun K. |
|
1997
|
Further results on Srivastava’s triple hypergeometric series \(H_A\) and \(H_C\). Zbl 1081.33023
Rathie, Arjun K.; Kim, Yong Sup |
|
2004
|
On Preece’s identity and other contiguos results. Zbl 1091.33011
Choi, Junesang; Rathie, Arjun K.; Bhojak, Bharti |
|
2005
|
Quadratic transformations involving hypergeometric functions of two and higher order. Zbl 1105.33009
Choi, Junesang; Rathie, Arjun K. |
|
2006
|
On a new class of summation formulae involving the Laguerre polynomial. Zbl 1273.33010
Kim, Y. S.; Rathie, A. K.; Paris, R. B. |
|
2012
|
On an extension formulas for the triple hypergeometric series \(X_8\) due to Exton. Zbl 1132.33313
Kim, Yong Sup; Rathie, Arjun K. |
|
2007
|
A new proof of Watson’s theorem for the series \(_3F_2(1)\). Zbl 1163.33304
Rathie, Arjun K.; Paris, R. B. |
|
2009
|
A note on Gauss’s second summation theorem for the series \(_2 F_1 (1/2)\). Zbl 1168.33304
Choi, Junesang; Rathie, Arjun K.; Purnima |
|
2007
|
On the computations of contiguous relations for \(_{2}F_{1}\) hypergeometric series. Zbl 1168.33315
Rakha, Medhat A.; Ibrahim, Adel K.; Rathie, Arjun K. |
|
2009
|
On several new contiguous function relations for \(k\)-hypergeometric function with two parameters. Zbl 1382.33006
Chinra, Sivamani; Kamalappan, Vilfred; Rakha, Medhat A.; Rathie, Arjun K. |
|
2017
|
Extension of a quadratic transformation due to Whipple with an application. Zbl 1390.33018
Wang, Xiaoxia; Rathie, Arjun K. |
|
2013
|
Reduction formulas for Srivastava’s triple hypergeometric series \(F^{(3)}[x,y,z]\). Zbl 1325.33005
Choi, Junesang; Wang, Xiaoxia; Rathie, Arjun K. |
|
2015
|
New Laplace transforms for the generalized hypergeometric function \(_{2}f_{2}\). Zbl 1318.33007
Kim, Yong Sup; Rathie, Arjun K.; Lee, Chang Hyun |
|
2015
|
Another method for Padmanabham’s transformation formula for Exton’s triple hypergeometric series \(X_8\). Zbl 1231.33007
Kim, Yong Sup; Rathie, Arjun Kumar; Choi, Junesang |
|
2009
|
A study of \(q\)-contiguous function relations. Zbl 1347.33011
Harsh, Harsh Vardhan; Kim, Yong Sup; Rakha, Medhat Ahmed; Rathie, Arjun Kumar |
|
2016
|
On a new class of summation formulas involving the generalized hypergeometric \(_2F_2\) polynomial. Zbl 1343.33004
Rathie, Arjun K.; Kılıçman, Adem |
|
2014
|
Relations between Lauricella’s triple hypergeometric function \(F_A^{(3)}(x,y,z)\) and Exton’s function \(X_8\). Zbl 1367.33008
Choi, Junesang; Rathie, Arjun K. |
|
2013
|
Reduction of Srivastava-Daoust \(\mathcal S\) function of two variables. Zbl 1313.33006
Pogány, Tibor K.; Rathie, Arjun K. |
|
2013
|
Evaluation of certain new class of definite integrals. Zbl 1318.33005
Choi, Junesang; Rathie, Arjun K. |
|
2015
|
New results for the series \(_2F_1(x)\) with an application. Zbl 1296.33013
Choi, Junesang; Rathie, Arjun Kumar |
|
2014
|
A new proof of the extended Saalschutz’s summation theorem for the series \(_{4}F_{3}\) and its applications. Zbl 1296.33008
Choi, Junesang; Rathie, Arjun K.; Chopra, Purnima |
|
2013
|
A note on an identity due to Preece. Zbl 0906.33002
Rathie, Arjun K.; Choi, Junesang |
|
1998
|
Some hypergeometric and other evaluations of \(\zeta (2)\) and allied series. Zbl 0965.11039
Choi, Junesang; Rathie, Arjun K.; Srivastava, H. M. |
|
1999
|
A note on a generalization of two well-known combinatorial identities via a hypergeometric series approach. Zbl 1497.11051
Rathie, Arjun K.; Kim, Insuk; Paris, Richard B. |
|
2022
|
Some results for terminating \({}_2F_1(2)\) series. Zbl 1285.33006
Kim, Yong Sup; Rathie, Arjun K. |
|
2013
|
On a new class of double integrals involving hypergeometric function. Zbl 0951.33005
Rathie, A. K.; Choi, Junesang; Kim, Yongsup; Chajer, G. C. |
|
1999
|
On \(q\)-analog of Kummer’s theorem and its contiguous results. Zbl 1101.33306
Kim, Yong Sup; Rathie, Arjun K.; Lee, Chang Hyun |
|
2003
|
Another method for a new two-term relation for the hypergeometric function \(_{3}F_{2}\) due to Exton. Zbl 1044.33003
Rathie, Arjun K.; Kim, Yong Sup; Song, Hyeong Kee |
|
2004
|
A summation formula of \(_ 6F_ 5(1)\). Zbl 1101.33302
Choi, Junesang; Rathie, Arjun K.; Malani, Shaloo |
|
2004
|
Three-term contiguous functional relations for basic hypergeometric series \(_2\phi_1\). Zbl 1086.33016
Kim, Yong Sup; Rathie, Arjun K.; Choi, Junesang |
|
2005
|
Applications of generalized Kummer’s summation theorem for the series \(_{2}F_{1}\). Zbl 1188.33008
Kim, Yong Sup; Rathie, Arjun K. |
|
2009
|
Extension of a quadratic transformation due to Exton. Zbl 1179.33025
Pogány, Tibor K.; Rathie, Arjun K. |
|
2009
|
Evaluation of a new class of double definite integrals. Zbl 1382.33013
Gaboury, Sébastien; Rathie, Arjun Kumar |
|
2017
|
An identity involving product of generalized hypergeometric series \(_2F_2\). Zbl 1434.33008
Kim, Yong Sup; Choi, Junesang; Rathie, Arjun Kumar |
|
2019
|
Remark on two results by Padmanabham for Exton’s triple hypergeometric series \(X_8\). Zbl 1333.33007
Choi, Junesang; Kim, Yong Sup; Park, Ju Hee; Rathie, Arjun K.; Lee, Seung Woo |
|
2005
|
Some recurrence relations for the Jacobi polynomials \(P_n^{(\alpha, \beta)} (x)\). Zbl 1336.33006
Choi, Junesang; Raj S. N., Shine; Rathie, Arjun K. |
|
2015
|
Further extension of two results involving \(_0 F_1\) due to Bailey. Zbl 1426.33011
Groth, Frederick; Choi, Junesang; J., Prathima; Rathie, Arjun Kumar |
|
2018
|
Certain new generating relations for products of two Laguerre polynomials. Zbl 1331.33017
Choi, Junesang; Rathie, Arjun Kumar |
|
2015
|
\(\pi\) and other formulae implied by hypergeometric summation theorems. Zbl 1336.33014
Kim, Yong Sup; Rathie, Arjun Kumar; Wang, Xiaoxia |
|
2015
|
An alternative proof of the extended Saalschütz summation theorem for the \(_{r + 3}F_{r + 2}(1)\) series with applications. Zbl 1347.33015
Kim, Yong S.; Rathie, Arjun. K.; Paris, Richard B. |
|
2015
|
On a new class of series identities. Zbl 1325.33002
Shekhawat, Nidhi; Choi, Junesang; Rathie, Arjun K.; Prakash, Om |
|
2015
|
A reducibility of Srivastava’s triple hypergeometric series \(F^{(3)}[x, y, z]\). Zbl 1279.33009
Choi, Junesang; Wang, Xiaoxia; Rathie, Arjun K. |
|
2013
|
Another derivation method of summation formula for the series \({}_3F_2(-1)\) and \({}_4F_3(1)\). Zbl 1265.33017
Pogány, Tibor K.; Rathie, Arjun K. |
|
2007
|
Two formulas contiguous to a quadratic transformation due to Kummer with an application. Zbl 1263.33003
Choi, Junesang; Rathie, Arjun K. |
|
2011
|
A note on generalizations of two results due to Bailey. Zbl 1375.33003
Choi, Junesang; Rathie, Arjun K. |
|
2017
|
Two general hypergeometric transformation formulas. Zbl 1300.33005
Choi, Junesang; Rathie, Arjun K. |
|
2014
|
On two formulas contiguous to a transformation due to Bailey. Zbl 1306.33011
Neethu, P.; Rakha, Medhat A.; Rathie, Arjun K |
|
2014
|
A note on some summations due to Ramanujan, their generalization and some allied series. Zbl 1488.33016
Rathie, A. K.; Paris, R. B. |
|
2014
|
Two general results involving square of generalized hypergeometric series and a companion result. Zbl 1370.33004
Cho, Junesang; Rathie, Arjun K. |
|
2017
|
Summation formulas derived from the Srivastava’s triple hypergeometric series \(H_C\). Zbl 1217.33023
Kim, Yong Sup; Rathie, Arjun Kumar; Choi, Junesang |
|
2010
|
Generalizations of two summation formulas for the generalized hypergeometric function of higher order due to Exton. Zbl 1210.33011
Choi, Junesang; Rathie, Arjun Kumar |
|
2010
|
A note on a generalization of two well-known combinatorial identities via a hypergeometric series approach. Zbl 1497.11051
Rathie, Arjun K.; Kim, Insuk; Paris, Richard B. |
|
2022
|
Certain reduction and transformation formulas for the Kampé de Fériet function. Zbl 1510.33001
Rakha, Medhat A.; Rathie, Arjun K. |
|
2022
|
Applications of Lehmer’s infinite series involving reciprocals of the central binomial coefficients. Zbl 1507.33007
Kumar, B. R. Srivatsa; Kılıçman, Adem; Rathie, Arjun K. |
|
2022
|
A note on two known sums involving central binomial coefficients with an application. Zbl 1512.41021
Lim, Dongkyu; Rathie, Arjun Kumar |
|
2022
|
A note on applications of the Gregory-Leibniz series for \(\pi\) and its generalization. Zbl 1536.33004
Rathie, A. K.; Paris, R. B. |
|
2022
|
A note on certain Laplace transforms of convolution-type integrals involving product of two generalized hypergeometric functions. Zbl 1535.44004
Rathie, Arjun Kumar; Geum, Young Hee; Kim, Hwajoon |
|
2021
|
A class of double integrals involving Gauss’s hypergeometric function. Zbl 1473.33002
Jun, S.; Kilicman, A.; Kim, I.; Rathie, A. K. |
|
2020
|
On a new class of Laplace-type integrals involving generalized hypergeometric functions. Zbl 1432.33004
Koepf, Wolfram; Kim, Insuk; Rathie, Arjun K. |
|
2019
|
On an extension of Edwards’s double integral with applications. Zbl 1438.33006
Kim, Insuk; Jun, Sungtae; Vyas, Yashoverdhan; Rathie, Arjun K. |
|
2019
|
On a new class of Eulerian’s type integrals involving generalized hypergeometric functions. Zbl 1409.33004
Jun, Sungtae; Kim, Insuk; Rathie, Arjun K. |
|
2019
|
Certain generalized fractional calculus formulas and integral transforms involving \((p, q)\)-Mathieu-type series. Zbl 1459.26007
Agarwal, Ravi P.; Kılıçman, Adem; Parmar, Rakesh K.; Rathie, Arjun K. |
|
2019
|
An identity involving product of generalized hypergeometric series \(_2F_2\). Zbl 1434.33008
Kim, Yong Sup; Choi, Junesang; Rathie, Arjun Kumar |
|
2019
|
On a quadratic transformation due to Exton and its generalization. Zbl 1488.33022
Milovanovic, Gradimir V.; Rathie, Arjun K. |
|
2019
|
A study of generalized summation theorems for the series \({}_2F_1\) with an applications to Laplace transforms of convolution type integrals involving Kummer’s functions \({}_1F_1\). Zbl 1488.33021
Milovanovic, Gradimir V.; Parmar, Rakesh K.; Rathie, Arjun K. |
|
2018
|
Certain Laplace transforms of convolution type integrals involving product of two special \(_{p}F_{p}\) functions. Zbl 1404.33004
Milovanović, Gradimir V.; Parmar, Rakesh K.; Rathie, Arjun K. |
|
2018
|
Applications of extended Watson’s summation theorem. Zbl 1424.33029
Kim, Young Sup; Gaboury, Sebastien; Rathie, Arjun Kumar |
|
2018
|
Further extension of two results involving \(_0 F_1\) due to Bailey. Zbl 1426.33011
Groth, Frederick; Choi, Junesang; J., Prathima; Rathie, Arjun Kumar |
|
2018
|
On new reduction formulas for the Humbert functions \(\Psi_2\), \(\Phi_2\) and \(\Phi_3\). Zbl 1367.33015
Brychkov, Yu. A.; Kim, Yong Sup; Rathie, Arjun K. |
|
2017
|
A new class of double integrals involving generalized hypergeometric functions. Zbl 1371.33011
Choi, Junesang; Rathie, A. K. |
|
2017
|
On several new contiguous function relations for \(k\)-hypergeometric function with two parameters. Zbl 1382.33006
Chinra, Sivamani; Kamalappan, Vilfred; Rakha, Medhat A.; Rathie, Arjun K. |
|
2017
|
Evaluation of a new class of double definite integrals. Zbl 1382.33013
Gaboury, Sébastien; Rathie, Arjun Kumar |
|
2017
|
A note on generalizations of two results due to Bailey. Zbl 1375.33003
Choi, Junesang; Rathie, Arjun K. |
|
2017
|
Two general results involving square of generalized hypergeometric series and a companion result. Zbl 1370.33004
Cho, Junesang; Rathie, Arjun K. |
|
2017
|
New Laplace transforms for the \(_2F_2\) generalized hypergeometric functions. Zbl 1488.44002
Deepthi, P.; Prajapati, J. C.; Rathie, Arjun K. |
|
2017
|
Reducibility of certain Kampé de Fériet function with an application to generating relations for products of two Laguerre polynomials. Zbl 1474.33015
Choi, Junesang; Rathie, Arjun K. |
|
2016
|
A study of \(q\)-contiguous function relations. Zbl 1347.33011
Harsh, Harsh Vardhan; Kim, Yong Sup; Rakha, Medhat Ahmed; Rathie, Arjun Kumar |
|
2016
|
Certain summation formulas for Humbert’s double hypergeometric series \(\Psi_2\) and \(\Phi_2\). Zbl 1329.33005
Choi, Junesang; Rathie, Arjun Kumar |
|
2015
|
On a reducibility of the Kampé de Fériet function. Zbl 1326.33005
Rakha, Medhat A.; Awad, Mohammed M.; Rathie, Arjun K. |
|
2015
|
Reduction formulas for Srivastava’s triple hypergeometric series \(F^{(3)}[x,y,z]\). Zbl 1325.33005
Choi, Junesang; Wang, Xiaoxia; Rathie, Arjun K. |
|
2015
|
New Laplace transforms for the generalized hypergeometric function \(_{2}f_{2}\). Zbl 1318.33007
Kim, Yong Sup; Rathie, Arjun K.; Lee, Chang Hyun |
|
2015
|
Evaluation of certain new class of definite integrals. Zbl 1318.33005
Choi, Junesang; Rathie, Arjun K. |
|
2015
|
Some recurrence relations for the Jacobi polynomials \(P_n^{(\alpha, \beta)} (x)\). Zbl 1336.33006
Choi, Junesang; Raj S. N., Shine; Rathie, Arjun K. |
|
2015
|
Certain new generating relations for products of two Laguerre polynomials. Zbl 1331.33017
Choi, Junesang; Rathie, Arjun Kumar |
|
2015
|
\(\pi\) and other formulae implied by hypergeometric summation theorems. Zbl 1336.33014
Kim, Yong Sup; Rathie, Arjun Kumar; Wang, Xiaoxia |
|
2015
|
An alternative proof of the extended Saalschütz summation theorem for the \(_{r + 3}F_{r + 2}(1)\) series with applications. Zbl 1347.33015
Kim, Yong S.; Rathie, Arjun. K.; Paris, Richard B. |
|
2015
|
On a new class of series identities. Zbl 1325.33002
Shekhawat, Nidhi; Choi, Junesang; Rathie, Arjun K.; Prakash, Om |
|
2015
|
Extension of extended beta, hypergeometric and confluent hypergeometric functions. Zbl 1298.33004
Choi, Junesang; Rathie, Arjun K.; Parmar, Rakesh K. |
|
2014
|
On the reducibility of Kampé de Fériet function. Zbl 1298.33003
Choi, Junesang; Rathie, Arjun K. |
|
2014
|
On a reduction formula for the Kampé de Fériet function. Zbl 1315.33017
Kim, Yong Sup; Pogány, Tibor K.; Rathie, Arjun K. |
|
2014
|
On two Thomae-type transformations for hypergeometric series with integral parameter differences. Zbl 1295.33010
Kim, Yong Sup; Rathie, Arjun K.; Paris, Richard Bruce |
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2014
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A study of I-functions of two variables. Zbl 1318.33025
Kumari, Shantha K.; Nambisan, T. M. Vasudevan; Rathie, Arjun K. |
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2014
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Further hypergeometric identities deducible by fractional calculus. Zbl 1300.33006
Gaboury, Sebastien; Rathie, Arjun K. |
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2014
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On an extension of Kummer-type II transformation. Zbl 1311.33005
Rakha, Medhat A.; Rathie, Arjun K. |
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2014
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On a new class of summation formulas involving the generalized hypergeometric \(_2F_2\) polynomial. Zbl 1343.33004
Rathie, Arjun K.; Kılıçman, Adem |
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2014
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New results for the series \(_2F_1(x)\) with an application. Zbl 1296.33013
Choi, Junesang; Rathie, Arjun Kumar |
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2014
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Two general hypergeometric transformation formulas. Zbl 1300.33005
Choi, Junesang; Rathie, Arjun K. |
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2014
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On two formulas contiguous to a transformation due to Bailey. Zbl 1306.33011
Neethu, P.; Rakha, Medhat A.; Rathie, Arjun K |
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2014
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A note on some summations due to Ramanujan, their generalization and some allied series. Zbl 1488.33016
Rathie, A. K.; Paris, R. B. |
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2014
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Certain hypergeometric identities deducible by using the beta integral method. Zbl 1283.33004
Choi, Junesang; Rathie, Arjun K.; Srivastava, Hari M. |
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2013
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An extension of Saalschütz’s summation theorem for the series \(_{r+3}F_{r+2}\). Zbl 1286.33006
Kim, Y. S.; Rathie, A. K.; Paris, R. B. |
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2013
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Extension of some classical summation theorems for the generalized hypergeometric series with integral parameter differences. Zbl 1412.33013
Rathie, Arjun K.; Paris, R. B. |
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2013
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On an extension of Kummer’s second theorem. Zbl 1277.33008
Rakha, Medhat A.; Awad, Mohamed M.; Rathie, Arjun K. |
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2013
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On a hypergeometric summation theorem due to Qureshi et al. Zbl 1279.33001
Choi, Junesang; Rathie, Arjun K. |
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2013
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Generalization of two theorems due to Ramanujan. Zbl 1277.33005
Kim, Y. S.; Rathie, A. K.; Paris, R. B. |
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2013
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On the distribution of the product and the sum of generalized shifted gamma random variables. Zbl 1291.62044
Rathie, Pushpa N.; Rathie, Arjun K.; Ozelim, Luan C. de S. M. |
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2013
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Extension of a quadratic transformation due to Whipple with an application. Zbl 1390.33018
Wang, Xiaoxia; Rathie, Arjun K. |
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2013
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Relations between Lauricella’s triple hypergeometric function \(F_A^{(3)}(x,y,z)\) and Exton’s function \(X_8\). Zbl 1367.33008
Choi, Junesang; Rathie, Arjun K. |
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2013
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Reduction of Srivastava-Daoust \(\mathcal S\) function of two variables. Zbl 1313.33006
Pogány, Tibor K.; Rathie, Arjun K. |
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2013
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A new proof of the extended Saalschutz’s summation theorem for the series \(_{4}F_{3}\) and its applications. Zbl 1296.33008
Choi, Junesang; Rathie, Arjun K.; Chopra, Purnima |
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2013
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Some results for terminating \({}_2F_1(2)\) series. Zbl 1285.33006
Kim, Yong Sup; Rathie, Arjun K. |
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2013
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A reducibility of Srivastava’s triple hypergeometric series \(F^{(3)}[x, y, z]\). Zbl 1279.33009
Choi, Junesang; Wang, Xiaoxia; Rathie, Arjun K. |
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2013
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Some summation formulas for the hypergeometric series \(_{r+2}F_{r+1}(\tfrac 12)\). Zbl 1290.33007
Kim, Y. S.; Rathie, A. K.; Pandey, U.; Paris, R. B. |
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2013
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Two results for the terminating \({}_3F_2(2)\) with applications. Zbl 1258.33002
Kim, Yong Sup; Choi, Junesang; Rathie, Arjun K. |
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2012
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On a new class of integrals involving hypergeometric function. Zbl 1312.33013
Rakha, Medhat A.; Rathie, Arjun K.; Chaudhary, M. P.; Ali, Shoukat |
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2012
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New Laplace transforms of Kummer’s confluent hypergeometric functions. Zbl 1255.44002
Kim, Yong Sup; Rathie, Arjun K.; Cvijović, Djurdje |
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2012
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A new proof of Saalschütz’s theorem for the series \({}_3F_2(1)\) and its contiguous results with applications. Zbl 1235.33002
Kim, Yong Sup; Rathie, Arjun Kumar |
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2012
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On a new class of summation formulae involving the Laguerre polynomial. Zbl 1273.33010
Kim, Y. S.; Rathie, A. K.; Paris, R. B. |
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2012
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Generalizations of classical summation theorems for the series \(_{2} F_{1}\) and \(_{3} F_{2}\) with applications. Zbl 1241.33006
Rakha, Medhat A.; Rathie, Arjun K. |
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2011
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Generalization of extended beta function, hypergeometric and confluent hypergeometric functions. Zbl 1239.33003
Lee, Dong Myung; Rathie, Arjun K.; Parmar, Rakesh K.; Kim, Young Sup |
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2011
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On some new contiguous relations for the Gauss hypergeometric function with applications. Zbl 1217.33006
Rakha, Medhat A.; Rathie, Arjun K.; Chopra, Purnima |
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2011
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Extensions of Euler type II transformation and Saalschütz’s theorem. Zbl 1214.33003
Rakha, Medhat A.; Rathie, Arjun K. |
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2011
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A generalization of a formula due to Kummer. Zbl 1241.33009
Choi, Junesang; Rathie, Arjun K.; Srivastava, H. M. |
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2011
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Two formulas contiguous to a quadratic transformation due to Kummer with an application. Zbl 1263.33003
Choi, Junesang; Rathie, Arjun K. |
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2011
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Applications of a generalized form of Gauss’s second theorem to the series \({}_{3}F_{2}\). Zbl 1246.33002
Kim, Yong Sup; Rathie, Arjun K. |
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2011
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Extensions of certain classical summation theorems for the series \(_2F_1\), \(_3F_2\) and with applications in Ramanujan’s summations. Zbl 1210.33012
Kim, Yong Sup; Rakha, Medhat A.; Rathie, Arjun K. |
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2010
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Generalization of Kummer’s second theorem with applications. Zbl 1224.33001
Sup Kim, Yong; Rakha, M. A.; Rathie, A. K. |
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2010
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Summation formulas derived from the Srivastava’s triple hypergeometric series \(H_C\). Zbl 1217.33023
Kim, Yong Sup; Rathie, Arjun Kumar; Choi, Junesang |
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2010
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Generalizations of two summation formulas for the generalized hypergeometric function of higher order due to Exton. Zbl 1210.33011
Choi, Junesang; Rathie, Arjun Kumar |
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2010
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A new proof of Watson’s theorem for the series \(_3F_2(1)\). Zbl 1163.33304
Rathie, Arjun K.; Paris, R. B. |
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2009
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On the computations of contiguous relations for \(_{2}F_{1}\) hypergeometric series. Zbl 1168.33315
Rakha, Medhat A.; Ibrahim, Adel K.; Rathie, Arjun K. |
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2009
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Another method for Padmanabham’s transformation formula for Exton’s triple hypergeometric series \(X_8\). Zbl 1231.33007
Kim, Yong Sup; Rathie, Arjun Kumar; Choi, Junesang |
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2009
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Applications of generalized Kummer’s summation theorem for the series \(_{2}F_{1}\). Zbl 1188.33008
Kim, Yong Sup; Rathie, Arjun K. |
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2009
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Extension of a quadratic transformation due to Exton. Zbl 1179.33025
Pogány, Tibor K.; Rathie, Arjun K. |
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2009
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On a summation formula for the Clausen’s series \(_3F_2\) with applications. Zbl 1199.33006
Kim, Yong Sup; Pogány, Tibor K.; Rathie, Arjun K. |
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2009
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New summation formula for \(_3F_2(\frac{1}{2})\) and a Kummer-type II transformation of \(_2F_2(x)\). Zbl 1146.33002
Rathie, Arjun K.; Pogány, Tibor K. |
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2008
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A study of new hypergeometric transformations. Zbl 1157.33003
Rathie, Arjun K.; Rakha, Medhat A. |
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2008
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Comment on ‘A summation formula for Clausen’s series \(_{3}F_{2}(1)\) with an application to Goursat’s function \(_{2}F_{2}(x)\)’. Zbl 1132.33314
Kim, Yong Sup; Rathie, Arjun K. |
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2008
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Generalization of a transformation formula found by Baillon and Bruck. Zbl 1168.33308
Rathie, Arjun K.; Kim, Yong Sup |
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2008
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An extension of the Euler-type transformation for the \(_3F_2\) series. Zbl 1151.33006
Rathie, A. K.; Paris, R. B. |
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2007
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Kummer’s theorem and its contiguous identities. Zbl 1135.33007
Choi, Junesang; Rathie, Arjun K.; Malani, Shaloo |
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2007
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On an extension formulas for the triple hypergeometric series \(X_8\) due to Exton. Zbl 1132.33313
Kim, Yong Sup; Rathie, Arjun K. |
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2007
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A note on Gauss’s second summation theorem for the series \(_2 F_1 (1/2)\). Zbl 1168.33304
Choi, Junesang; Rathie, Arjun K.; Purnima |
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2007
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Another derivation method of summation formula for the series \({}_3F_2(-1)\) and \({}_4F_3(1)\). Zbl 1265.33017
Pogány, Tibor K.; Rathie, Arjun K. |
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2007
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Another method for a Kummer-type transformation for a \(_{2}F_2\) hypergeometric function. Zbl 1168.33312
Choi, Junesang; Rathie, Arjun K. |
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2007
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Quadratic transformations involving hypergeometric functions of two and higher order. Zbl 1105.33009
Choi, Junesang; Rathie, Arjun K. |
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2006
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On Preece’s identity and other contiguos results. Zbl 1091.33011
Choi, Junesang; Rathie, Arjun K.; Bhojak, Bharti |
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2005
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Three-term contiguous functional relations for basic hypergeometric series \(_2\phi_1\). Zbl 1086.33016
Kim, Yong Sup; Rathie, Arjun K.; Choi, Junesang |
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2005
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Remark on two results by Padmanabham for Exton’s triple hypergeometric series \(X_8\). Zbl 1333.33007
Choi, Junesang; Kim, Yong Sup; Park, Ju Hee; Rathie, Arjun K.; Lee, Seung Woo |
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2005
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On \(q\)-Gauss’s second summation theorem. Zbl 1081.33031
Kim, Yong Sup; Rathie, Arjun K.; Lee, Chang Hyun |
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2005
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Certain summation formulas due to Ramanujan and their generalizations. Zbl 1080.33007
Rathie, Arjun K.; Malani, Shaloo; Mathur, Ramanujan; Choi, Junedang |
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2005
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| ...and 28 more Documents |
