Ratios of the Gauss hypergeometric functions with parameters shifted by integers: more on integral representations

DOI10.1134/S1995080221120118zbMath1497.33004arXiv2108.03595OpenAlexW3188865472WikidataQ114074841 ScholiaQ114074841MaRDI QIDQ2062072

Yanyan Li

Publication date: 22 December 2021

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

Full work available at URL: https://arxiv.org/abs/2108.03595

zbMATH Keywords

Gauss hypergeometric functionIntegral representationRunckel's theorem

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (2)

Monotonicity and concavity properties of the Gaussian hypergeometric functions, with applications ⋮ Ratios of the Gauss hypergeometric functions with parameters shifted by integers: more on integral representations

Cites Work

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• Ratios of the Gauss hypergeometric functions with parameters shifted by integers: more on integral representations
• On the zeros of the hypergeometric function
• Hypergeometric functions at unit argument: simple derivation of old and new identities
• Indefinite integrals of quotients of Gauss hypergeometric functions
• The Gauss Hypergeometric Ratio As a Positive Real Function
• Convergence of ray sequences of Padé approximants for₂f₁(a, 1;c;z), (c>a> 0)
• Nielsen's beta function and some infinitely divisible distributions

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