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

DOI10.1515/anly-2018-0070zbMath1469.33010OpenAlexW3129904389MaRDI QIDQ2031292

Showkat Ahmad Dar, Richard B. Paris

Publication date: 9 June 2021

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2018-0070

zbMATH Keywords

Bessel functionbeta and gamma functionsSrivastava's triple hypergeometric functionsbounded inequalityExton's triple hypergeometric function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15) Other hypergeometric functions and integrals in several variables (33C70) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) 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)

Uses Software

• DLMF

Cites Work

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• Integral representations for Srivastava's triple hypergeometric functions
• 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
• On an extension of extended beta and hypergeometric functions
• Regions of Convergence for Hypergeometric Series in Three Variables.
• INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION H_C

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