A \((p, q)\)-extension of Srivastava's triple hypergeometric function \(H_B\) and its properties

DOI10.1016/J.CAM.2018.08.045zbMath1404.33012arXiv1711.07809OpenAlexW2963644547MaRDI QIDQ1757370

Richard B. Paris, Showkat Ahmad Dar

Publication date: 4 January 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07809

zbMATH Keywords

Laguerre polynomialsbeta and gamma functionsAppell's hypergeometric functionsSrivastava's triple hypergeometric functionsExton's triple hypergeometric functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65)

Related Items (4)

Extensions of beta and related functions ⋮ Some properties of generalized Srivastava's triple hypergeometric function \(H_{C,p,q}(\cdot )\) ⋮ On the analytical development of incomplete Riemann–Liouville fractional calculus ⋮ Extended incomplete Riemann-Liouville fractional integral operators and related special functions

Uses Software

• DLMF

Cites Work

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• Extension of gamma, beta and hypergeometric functions
• Some generating relations for extended hypergeometric functions via generalized fractional derivative operator
• Extension of Euler's beta function
• Extended hypergeometric and confluent hypergeometric functions
• Some integrals representing triple hypergeometric functions
• INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION H_B
• INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION H_A
• EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
• Regions of Convergence for Hypergeometric Series in Three Variables.
• INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION H_C

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