Found 54 Documents (Results 1–54)
On some formulas for the confluent Horn functions \(H_{10}^{(c)} (a; c; w, z)\) and \(H_{11}^{(c)} (a, c, c'; d; w, z)\). (English) Zbl 1532.33023
MSC:
33C65
On some formulas for the confluent Horn functions \(H_3^{(c)}\, (a, b, c; d; w, z)\), \(H_4^{(c)}\, (a, c; d; w, z)\) and \(H_9^{(c)}\, (a, b; c; w, z)\). (English) Zbl 1531.33026
Reviewer: Showkat Ahmad (Sopore)
Multiple hypergeometric functions in communication theory: Evaluations of error probabilities for four-parameter, \( \kappa{-}\mu\) and \(\eta{-}\mu\) signals distributions in general fading channels. (English) Zbl 1526.33002
Some properties of multiple hypergeometric functions and applications in the probability theory. (English) Zbl 1503.33013
On some formulas for the Horn functions \(H_6(a, b, b^\prime w, z)\) and \(H_8^{(c)}(a, b;w, z)\). (English) Zbl 1517.33005
On some formulas for the Horn functions \(H_5 (a,b; c;w, z)\) and \(H_5^{(c)}(a;c;w,z)\). (English) Zbl 1509.33014
On some formulas for the Horn functions \(H_3(a, b; c; w, z)\), \(H^{(c)}_6(a; c; w, z)\) and Humbert function \(\Phi_3(b; c; w, z)\). (English) Zbl 1496.33011
On some formulas for the Horn function \(H_2 (a, b, c, c^{\prime}; d; w, z)\) and confluent Horn function \(H_2^{(c)} (a, b, c; d; w, z)\). (English) Zbl 1482.33010
On some formulas for the Horn functions \(G_2(a,a',b,b';w,z), G_3(a,a';w,z)\) and \(\Gamma_1(a,b,b';w,z)\). (English) Zbl 1466.33010
On some formulas for the Horn functions \(G_1(a,b,b';w,z)\) and \(\Gamma_2(b,b';w,z)\). (English) Zbl 1466.33009
The generalized modified Bessel function and its connection with Voigt line profile and Humbert functions. (English) Zbl 1436.33020
Graded rings of paramodular forms of levels 5 and 7. (English) Zbl 1433.11053
Reviewer: G. K. Sankaran (Bath)
A new proof of a reduction formula for the Appell series \(F_3\) due to Bailey. (English) Zbl 1474.33061
Some expansions for a class of generalized Humbert matrix polynomials. (English) Zbl 1432.15005
Reviewer: Chrysoula G. Kokologiannaki (Patras)
Some new results for Humbert’s double hypergeometric series \(\psi_2\) and \(\phi_2\). (English) Zbl 1414.33015
On integral representations and asymptotics of some hypergeometric functions in two variables. (English) Zbl 1384.33029
Generalized moment representations and the Padé type approximations of some multidimensional analogues of the Humbert series. (Generalized moment representations and the Fade type approximations of some multidimensional analogues of the Humbert series.) (Ukrainian. English summary) Zbl 1399.41022
MSC:
41A21
On some formulas for the Appell function \(F_4(a,b;c,c';w,z)\). (English) Zbl 1376.33004
Reviewer: Thomas Ernst (Uppsala)
Truncated moment-generating functions of the \(NIG\) process and their applications. (English) Zbl 1370.60094
Generalized Stieltjes transforms of compactly-supported probability distributions: further examples. (English) Zbl 1381.44013
A unified presentation of a class of generalized Humbert polynomials in two variables. (English) Zbl 1424.33019
Application of Faà di Bruno’s formula in the construction of combinatorial identities. (English) Zbl 1352.05029
On some formulas for the Appell function \(F_{3}(a,a',b,b';c;w,z)\). (English) Zbl 1331.33030
Reviewer: István Mező (Debrecen)
A special function of communication theory. (English) Zbl 1356.33009
Reviewer: Richard B. Paris (Dundee)
On some formulas for the Appell function \(F_{2}(a, b, b^\prime; c, c^\prime; w; z)\). (English) Zbl 1282.33020
Reviewer: Chrysoula G. Kokologiannaki (Patras)
New discrete Appell and Humbert distributions with relevance to bivariate accident data. (English) Zbl 1255.60021
A connection formula between double hypergeometric series \(\Psi_2\) and \(\Phi_3\). (English) Zbl 1257.33005
Reviewer: Roelof Koekoek (Delft)
Certain integral representations of Euler type for the Exton function \(X_8\). (English) Zbl 1241.33008
Relations between the hypergeometric function of Appell \(F_3\) and Kampé de Fériet functions. (English) Zbl 1265.33016
Applications of the operator \(H(\alpha ,\beta )\) to the Humbert double hypergeometric functions. (English) Zbl 1217.33011
MSC:
33C20
Certain integral representations of Euler type for the Exton function \(X_2\). (English) Zbl 1234.33010
Certain integral representations of Euler type for the Exton function \(X_5\). (English) Zbl 1218.33006
On Epstein’s zeta function of Humbert forms. (English) Zbl 1163.11052
Reviewer: Guram Gogishvili (Tbilisi)
Linearization coefficients for Boas-Buck polynomial sets. (English) Zbl 1138.33003
Reviewer: Wolfram Koepf (Kassel)
Decomposition formulas for some triple hypergeometric functions. (English) Zbl 1103.33008
Reviewer: K. C. Gupta (Jaipur)
On Stirling-type pairs and extended Gegenbauer-Humbert-Fibonacci polynomials. (English) Zbl 0795.05003
Bergum, G. E. (ed.) et al., Applications of Fibonacci numbers. Volume 5: Proceedings of the fifth international conference on Fibonacci numbers and their applications, University of St. Andrews, Scotland, July 20-24, 1992. Dordrecht: Kluwer Academic Publishers. 367-377 (1993).
Reviewer: U.Kaljulaid (Tartu)
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