Further applications of the \(G\) function integral method

DOI10.1134/S1995080220050029zbMath1450.33012arXiv2001.03635OpenAlexW3043421158MaRDI QIDQ2206677

M. A. C. Candezano, Dmitriĭ Borisovich Karp, Elena G. Prilepkina

Publication date: 28 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03635

zbMATH Keywords

generalized hypergeometric functionsummation formulahypergeometric identityMeijer's \(G\) functioncubic transformationsdegenerate Miller-Paris transformationsGessel-Stanton evaluations

Mathematics Subject Classification ID

Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Uses Software

• DLMF
• SumTools

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hypergeometric differential equation and new identities for the coefficients of Nørlund and Bühring
• Representations of hypergeometric functions for arbitrary parameter values and their use
• Automatic generation of hypergeometric identities by the beta integral method.
• Extensions of the classical transformations of the hypergeometric function \({}_3F_2\)
• Transformation formulas for the generalized hypergeometric function with integral parameter differences
• Degenerate Miller-Paris transformations
• Hypergeometric summation. An algorithmic approach to summation and special function identities
• The special functions and their approximations. Vol. I, II
• An extension of Saalschütz's summation theorem for the series_r+3F_r+2
• EXTENSIONS OF EULER TYPE II TRANSFORMATION AND SAALSCHÜTZ'S THEOREM
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
• Alternative Approach to Miller-Paris Transformations and Their Extensions
• Strange Evaluations of Hypergeometric Series

This page was built for publication: Further applications of the \(G\) function integral method