Hypergeometric functions at unit argument: simple derivation of old and new identities

DOI10.3842/SIGMA.2021.098zbMath1492.33005arXiv2105.05196MaRDI QIDQ2666003

Asena Çetinkaya, Elena G. Prilepkina, Dmitriĭ Borisovich Karp

Publication date: 22 November 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.05196

zbMATH Keywords

generalized hypergeometric functiongeneralized Bernoulli polynomialsmultiple hypergeometric seriesKampé de Fériet functionhypergeometric identityMeijer's \(G\) functionSrivastava function

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items

On Meijer's G function G^m,n_p,p for m + n = p, Ratios of the Gauss hypergeometric functions with parameters shifted by integers: more on integral representations

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