Some identities for the product of two Bernoulli and Euler polynomials. Zbl 1346.33008
Kim, Dae; Kim, Taekyun; Lee, Sang-Hun; Kim, Young-Hee |
|
2012
|
Some identities for Bernoulli polynomials involving Chebyshev polynomials. Zbl 1290.11040
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun |
|
2014
|
Hermite polynomials and their applications associated with Bernoulli and Euler numbers. Zbl 1248.11018
Kim, Dae San; Kim, Taekyun; Rim, Seog-Hoon; Lee, Sang Hun |
|
2012
|
A note on poly-Bernoulli numbers and polynomials of the second kind. Zbl 1417.11017
Kim, Taekyun; Kwon, Hyuck In; Lee, Sang Hun; Seo, Jong Jin |
|
2014
|
A note on \(q\)-Daehee polynomials and numbers. Zbl 1301.11021
Kim, Taekyun; Lee, Sang-Hun; Mansour, Toufik; Seo, Jong-Jin |
|
2014
|
Sums products of generalized Daehee numbers. Zbl 1307.11029
Seo, J. J.; Rim, S. H.; Kim, T.; Lee, S. H. |
|
2014
|
Some arithmetic properties of Bernoulli and Euler numbers. Zbl 1293.11036
Kim, D. S.; Kim, T.; Kim, Y. H.; Lee, S. H. |
|
2012
|
Umbral calculus and Euler polynomials. Zbl 1313.11045
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2013
|
Frobenius-Euler polynomials and umbral calculus in the \(p\)-adic case. Zbl 1377.11026
Kim, Dae; Kim, Taekyun; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2012
|
Some new identities on the Bernoulli and Euler numbers. Zbl 1248.11017
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun; Dolgy, D. V.; Rim, Seog-Hoon |
|
2011
|
Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus. Zbl 1365.05032
Kim, Dae; Kim, Taekyun; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2013
|
Some identities of Genocchi polynomials arising from Genocchi basis. Zbl 1284.11037
Kim, Taekyun; Rim, Seog-Hoon; Dolgy, Dmitry V.; Lee, Sang-Hun |
|
2013
|
Barnes-type Daehee of the first kind and poly-Cauchy of the first kind mixed-type polynomials. Zbl 1343.05024
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Lee, Sang-Hun |
|
2014
|
Some new identities on the twisted Bernoulli and Euler polynomials. Zbl 1287.11028
Dolgy, Dmitry V.; Kim, Taekyun; Lee, Byungje; Lee, Sang-Hun |
|
2013
|
Properties of \(q\)-analogue of beta operator. Zbl 1291.41008
Gupta, Vijay; Sharma, Honey; Kim, Taekyun; Lee, Sang-Hun |
|
2012
|
Apostol-Euler polynomials arising from umbral calculus. Zbl 1391.05051
Kim, Taekyun; Mansour, Toufik; Rim, Seog-Hoon; Lee, Sang-Hun |
|
2013
|
Symmetry identities for the generalized higher-order \(q\)-Bernoulli polynomials under \(S_3\) arising from \(p\)-adic Volkenborn integral on \({\mathbb Z}_p\). Zbl 1305.11015
Dolgy, Dmitry V.; Kim, Taekyun; Rim, Seog-Hoon; Lee, S. H. |
|
2014
|
Arithmetic properties of \(q\)-Barnes polynomials. Zbl 1287.11027
Bayad, A.; Kim, Taekyun; Kim, W. J.; Lee, S. H. |
|
2013
|
Higher-order Daehee of the second kind and poly-Cauchy of the second kind mixed-type polynomials. Zbl 1333.05021
Kim, Taekyun; Kim, Dae San; Komatsu, Takao; Lee, Sang-Hun |
|
2015
|
A note on the modified \(q\)-Bernoulli numbers and polynomials with weight \(\alpha\). Zbl 1232.11028
Kim, T.; Dolgy, D. V.; Lee, S. H.; Lee, B.; Rim, S. H. |
|
2011
|
On the higher-order \(q\)-Euler numbers and polynomials with weight \(\alpha\). Zbl 1284.11041
Hwang, K.-W.; Dolgy, D. V.; Kim, T.; Lee, S. H. |
|
2011
|
A note on the higher-order Frobenius-Euler polynomials and Sheffer sequences. Zbl 1382.11025
Kim, Dae; Kim, Taekyun; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2013
|
Barnes’ multiple Bernoulli and poly-Bernoulli mixed-type polynomials. Zbl 1319.05012
Dolgy, Dmitry V.; Kim, Dae San; Komatsu, Takao; Lee, Sang-Hun |
|
2015
|
Identities for the Bernoulli and Euler numbers and polynomials. Zbl 1289.11020
Kim, Taekyun; Lee, Byungje; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2012
|
Some theorems on Bernoulli and Euler numbers. Zbl 1289.11018
Hwang, Kyung-Won; Dolgy, Dmitry V.; Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun |
|
2013
|
Some identities for the Frobenius-Euler numbers and polynomials. Zbl 1287.11031
Kim, Taekyun; Lee, Byungje; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2013
|
Barnes-type Peters polynomials associated with poly-Cauchy polynomials of the second kind. Zbl 1400.11067
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Kwon, Hyuck In; Lee, Sang-Hun |
|
2016
|
Identities of symmetry for higher-order \(q\)-Euler polynomials. Zbl 1318.11032
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun; Seo, Jong-Jin |
|
2014
|
Some identities on Bernoulli and Euler polynomials arising from the orthogonality of Laguerre polynomials. Zbl 1377.11028
Kim, Taekyun; Rim, Seog-Hoon; Dolgy, D. V.; Lee, Sang-Hun |
|
2012
|
Integral formulae of Bernoulli polynomials. Zbl 1258.11040
Kim, Dae San; Dolgy, Dmitry V.; Kim, Hyun-Mee; Lee, Sang-Hun; Kim, Taekyun |
|
2012
|
A note on the \(q\)-Bernoulli numbers and \(q\)-Bernstein polynomials. Zbl 1288.11021
Park, Jin-Woo; Park, Hong Kyung; Rim, Seog-Hoon; Kim, Taekyun; Lee, Sang-Hun |
|
2013
|
On the values of the weighted \(q\)-zeta and \(L\)-functions. Zbl 1248.11095
Kim, T.; Lee, S. H.; Han, Hyeon-Ho; Ryoo, C. S. |
|
2011
|
\(q\)-poly-Cauchy numbers associated with Jackson integral. Zbl 1322.05026
Kim, Taekyun; Komatsu, Takao; Lee, Sang-Hun; Seo, Jong-Jin |
|
2015
|
Higher-order Daehee of the first kind and poly-Cauchy of the first kind mixed type polynomials. Zbl 1358.11037
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun |
|
2015
|
\(q\)-Bernoulli numbers and polynomials related to \(p\)-adic invariant integral on \({\mathbb Z}_p\). Zbl 1321.11028
Seo, J.-J.; Rim, S.-H.; Lee, S.- H.; Dolgy, D. V.; Kim, T. |
|
2013
|
Identities for the Bernoulli and Euler numbers arising from the \(p\)-adic integral on \(\mathbb z_p\). Zbl 1252.11020
Kim, Hyun-Mee; Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun; Dolgy, D. V.; Lee, Byungje |
|
2012
|
\(Q\)-analogue of a new sequence of linear positive operators. Zbl 1279.41026
Gupta, Vijay; Kim, Taekyun; Lee, Sang-Hun |
|
2012
|
A note on the generalized \(q\)-Bernoulli measures with weight \(\alpha\). Zbl 1246.11179
Kim, T.; Lee, S. H.; Dolgy, D. V.; Ryoo, C. S. |
|
2011
|
Umbral calculus and the Frobenius-Euler polynomials. Zbl 1267.11018
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun |
|
2013
|
A note on \(q\)-Bernstein polynomials associated with \(p\)-adic integral on \(\mathbb Z_p\). Zbl 1287.11032
Kim, Taekyun; Lee, Byungje; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2013
|
A note on the modified Carlitz’s \(q\)-Bernoulli numbers and polynomials. Zbl 1288.11020
Park, Jin-Woo; Dolgy, Dmitry V.; Kim, Taekyun; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2013
|
Analogue of Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\). Zbl 1262.11101
Kim, T.; Dolgy, D. V.; Lee, S. H.; Ryoo, C. S. |
|
2011
|
Some symmetry identities for the \((h,q)\)-Bernoulli polynomials under the third dihedral group \(D_3\) arising from \(q\)-Volkenborn integral on \(\mathbb Z_p\). Zbl 1353.11042
Rim, S.-H.; Kim, T. G.; Lee, S. H. |
|
2016
|
Some properties and identities of Bernoulli and Euler polynomials associated with \(p\)-adic integral on \(\mathbb Z_p\). Zbl 1277.11017
Kim, D. S.; Kim, T.; Dolgy, D. V.; Lee, S. H.; Rim, S.-H. |
|
2012
|
A note on the generalized Bernstein polynomials. Zbl 1228.60025
Dolgy, D. V.; Bayad, A.; Kim, T; Lee, S. H. |
|
2011
|
Some special polynomials and Sheffer sequences. Zbl 1288.05007
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun; Dolgy, Dmitry V. |
|
2014
|
Combinatorial identities involving harmonic and hyperharmonic numbers. Zbl 1293.05010
Kim, Dae San; Kim Taekyun; Lee, Sang-Hun |
|
2013
|
Fermionic \(p\)-adic integrals on \(\mathbb Z_p\) and umbral calculus. Zbl 1294.11017
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun; Dolgy, Dmitry V. |
|
2014
|
Barnes-type Peters polynomials associated with poly-Cauchy polynomials of the second kind. Zbl 1400.11067
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Kwon, Hyuck In; Lee, Sang-Hun |
|
2016
|
Some symmetry identities for the \((h,q)\)-Bernoulli polynomials under the third dihedral group \(D_3\) arising from \(q\)-Volkenborn integral on \(\mathbb Z_p\). Zbl 1353.11042
Rim, S.-H.; Kim, T. G.; Lee, S. H. |
|
2016
|
Higher-order Daehee of the second kind and poly-Cauchy of the second kind mixed-type polynomials. Zbl 1333.05021
Kim, Taekyun; Kim, Dae San; Komatsu, Takao; Lee, Sang-Hun |
|
2015
|
Barnes’ multiple Bernoulli and poly-Bernoulli mixed-type polynomials. Zbl 1319.05012
Dolgy, Dmitry V.; Kim, Dae San; Komatsu, Takao; Lee, Sang-Hun |
|
2015
|
\(q\)-poly-Cauchy numbers associated with Jackson integral. Zbl 1322.05026
Kim, Taekyun; Komatsu, Takao; Lee, Sang-Hun; Seo, Jong-Jin |
|
2015
|
Higher-order Daehee of the first kind and poly-Cauchy of the first kind mixed type polynomials. Zbl 1358.11037
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun |
|
2015
|
Some identities for Bernoulli polynomials involving Chebyshev polynomials. Zbl 1290.11040
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun |
|
2014
|
A note on poly-Bernoulli numbers and polynomials of the second kind. Zbl 1417.11017
Kim, Taekyun; Kwon, Hyuck In; Lee, Sang Hun; Seo, Jong Jin |
|
2014
|
A note on \(q\)-Daehee polynomials and numbers. Zbl 1301.11021
Kim, Taekyun; Lee, Sang-Hun; Mansour, Toufik; Seo, Jong-Jin |
|
2014
|
Sums products of generalized Daehee numbers. Zbl 1307.11029
Seo, J. J.; Rim, S. H.; Kim, T.; Lee, S. H. |
|
2014
|
Barnes-type Daehee of the first kind and poly-Cauchy of the first kind mixed-type polynomials. Zbl 1343.05024
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Lee, Sang-Hun |
|
2014
|
Symmetry identities for the generalized higher-order \(q\)-Bernoulli polynomials under \(S_3\) arising from \(p\)-adic Volkenborn integral on \({\mathbb Z}_p\). Zbl 1305.11015
Dolgy, Dmitry V.; Kim, Taekyun; Rim, Seog-Hoon; Lee, S. H. |
|
2014
|
Identities of symmetry for higher-order \(q\)-Euler polynomials. Zbl 1318.11032
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun; Seo, Jong-Jin |
|
2014
|
Some special polynomials and Sheffer sequences. Zbl 1288.05007
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun; Dolgy, Dmitry V. |
|
2014
|
Fermionic \(p\)-adic integrals on \(\mathbb Z_p\) and umbral calculus. Zbl 1294.11017
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun; Dolgy, Dmitry V. |
|
2014
|
Umbral calculus and Euler polynomials. Zbl 1313.11045
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2013
|
Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus. Zbl 1365.05032
Kim, Dae; Kim, Taekyun; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2013
|
Some identities of Genocchi polynomials arising from Genocchi basis. Zbl 1284.11037
Kim, Taekyun; Rim, Seog-Hoon; Dolgy, Dmitry V.; Lee, Sang-Hun |
|
2013
|
Some new identities on the twisted Bernoulli and Euler polynomials. Zbl 1287.11028
Dolgy, Dmitry V.; Kim, Taekyun; Lee, Byungje; Lee, Sang-Hun |
|
2013
|
Apostol-Euler polynomials arising from umbral calculus. Zbl 1391.05051
Kim, Taekyun; Mansour, Toufik; Rim, Seog-Hoon; Lee, Sang-Hun |
|
2013
|
Arithmetic properties of \(q\)-Barnes polynomials. Zbl 1287.11027
Bayad, A.; Kim, Taekyun; Kim, W. J.; Lee, S. H. |
|
2013
|
A note on the higher-order Frobenius-Euler polynomials and Sheffer sequences. Zbl 1382.11025
Kim, Dae; Kim, Taekyun; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2013
|
Some theorems on Bernoulli and Euler numbers. Zbl 1289.11018
Hwang, Kyung-Won; Dolgy, Dmitry V.; Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun |
|
2013
|
Some identities for the Frobenius-Euler numbers and polynomials. Zbl 1287.11031
Kim, Taekyun; Lee, Byungje; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2013
|
A note on the \(q\)-Bernoulli numbers and \(q\)-Bernstein polynomials. Zbl 1288.11021
Park, Jin-Woo; Park, Hong Kyung; Rim, Seog-Hoon; Kim, Taekyun; Lee, Sang-Hun |
|
2013
|
\(q\)-Bernoulli numbers and polynomials related to \(p\)-adic invariant integral on \({\mathbb Z}_p\). Zbl 1321.11028
Seo, J.-J.; Rim, S.-H.; Lee, S.- H.; Dolgy, D. V.; Kim, T. |
|
2013
|
Umbral calculus and the Frobenius-Euler polynomials. Zbl 1267.11018
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun |
|
2013
|
A note on \(q\)-Bernstein polynomials associated with \(p\)-adic integral on \(\mathbb Z_p\). Zbl 1287.11032
Kim, Taekyun; Lee, Byungje; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2013
|
A note on the modified Carlitz’s \(q\)-Bernoulli numbers and polynomials. Zbl 1288.11020
Park, Jin-Woo; Dolgy, Dmitry V.; Kim, Taekyun; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2013
|
Combinatorial identities involving harmonic and hyperharmonic numbers. Zbl 1293.05010
Kim, Dae San; Kim Taekyun; Lee, Sang-Hun |
|
2013
|
Some identities for the product of two Bernoulli and Euler polynomials. Zbl 1346.33008
Kim, Dae; Kim, Taekyun; Lee, Sang-Hun; Kim, Young-Hee |
|
2012
|
Hermite polynomials and their applications associated with Bernoulli and Euler numbers. Zbl 1248.11018
Kim, Dae San; Kim, Taekyun; Rim, Seog-Hoon; Lee, Sang Hun |
|
2012
|
Some arithmetic properties of Bernoulli and Euler numbers. Zbl 1293.11036
Kim, D. S.; Kim, T.; Kim, Y. H.; Lee, S. H. |
|
2012
|
Frobenius-Euler polynomials and umbral calculus in the \(p\)-adic case. Zbl 1377.11026
Kim, Dae; Kim, Taekyun; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2012
|
Properties of \(q\)-analogue of beta operator. Zbl 1291.41008
Gupta, Vijay; Sharma, Honey; Kim, Taekyun; Lee, Sang-Hun |
|
2012
|
Identities for the Bernoulli and Euler numbers and polynomials. Zbl 1289.11020
Kim, Taekyun; Lee, Byungje; Lee, Sang-Hun; Rim, Seog-Hoon |
|
2012
|
Some identities on Bernoulli and Euler polynomials arising from the orthogonality of Laguerre polynomials. Zbl 1377.11028
Kim, Taekyun; Rim, Seog-Hoon; Dolgy, D. V.; Lee, Sang-Hun |
|
2012
|
Integral formulae of Bernoulli polynomials. Zbl 1258.11040
Kim, Dae San; Dolgy, Dmitry V.; Kim, Hyun-Mee; Lee, Sang-Hun; Kim, Taekyun |
|
2012
|
Identities for the Bernoulli and Euler numbers arising from the \(p\)-adic integral on \(\mathbb z_p\). Zbl 1252.11020
Kim, Hyun-Mee; Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun; Dolgy, D. V.; Lee, Byungje |
|
2012
|
\(Q\)-analogue of a new sequence of linear positive operators. Zbl 1279.41026
Gupta, Vijay; Kim, Taekyun; Lee, Sang-Hun |
|
2012
|
Some properties and identities of Bernoulli and Euler polynomials associated with \(p\)-adic integral on \(\mathbb Z_p\). Zbl 1277.11017
Kim, D. S.; Kim, T.; Dolgy, D. V.; Lee, S. H.; Rim, S.-H. |
|
2012
|
Some new identities on the Bernoulli and Euler numbers. Zbl 1248.11017
Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun; Dolgy, D. V.; Rim, Seog-Hoon |
|
2011
|
A note on the modified \(q\)-Bernoulli numbers and polynomials with weight \(\alpha\). Zbl 1232.11028
Kim, T.; Dolgy, D. V.; Lee, S. H.; Lee, B.; Rim, S. H. |
|
2011
|
On the higher-order \(q\)-Euler numbers and polynomials with weight \(\alpha\). Zbl 1284.11041
Hwang, K.-W.; Dolgy, D. V.; Kim, T.; Lee, S. H. |
|
2011
|
On the values of the weighted \(q\)-zeta and \(L\)-functions. Zbl 1248.11095
Kim, T.; Lee, S. H.; Han, Hyeon-Ho; Ryoo, C. S. |
|
2011
|
A note on the generalized \(q\)-Bernoulli measures with weight \(\alpha\). Zbl 1246.11179
Kim, T.; Lee, S. H.; Dolgy, D. V.; Ryoo, C. S. |
|
2011
|
Analogue of Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\). Zbl 1262.11101
Kim, T.; Dolgy, D. V.; Lee, S. H.; Ryoo, C. S. |
|
2011
|
A note on the generalized Bernstein polynomials. Zbl 1228.60025
Dolgy, D. V.; Bayad, A.; Kim, T; Lee, S. H. |
|
2011
|