A \((p, \nu)\)-extension of the Appell function \(F_1(\cdot)\) and its properties

DOI10.1016/J.CAM.2019.03.001zbMath1415.33005arXiv1711.07780OpenAlexW2926230226MaRDI QIDQ2000604

Showkat Ahmad Dar, Richard B. Paris

Publication date: 28 June 2019

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

Full work available at URL: https://arxiv.org/abs/1711.07780

zbMATH Keywords

Bessel functionMeijer's \(G\)-functionbeta and gamma functionsEulerian integralsAppell's 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) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Appell, Horn and Lauricella functions (33C65)

Related Items (5)

Some properties of generalized Srivastava's triple hypergeometric function \(H_{C,p,q}(\cdot )\) ⋮ On the analytical development of incomplete Riemann–Liouville fractional calculus ⋮ Bounds for the (45d,;d)-extended Beta function and certain consequences ⋮ A new extension and applications of Caputo fractional derivative operator ⋮ A (p,ν)-extension of Srivastava’s triple hypergeometric function HC

Uses Software

• DLMF

Cites Work

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• Some generating relations for extended hypergeometric functions via generalized fractional derivative operator
• Extension of Euler's beta function
• Extended hypergeometric and confluent hypergeometric functions
• Recursion formulas for Appell functions
• A massive Feynman integral and some reduction relations for Appell functions
• On an extension of extended beta and hypergeometric functions
• Multiple Hypergeometric Series: Appell Series and Beyond

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