Hypergeometric series with gamma product formula

DOI10.1016/j.indag.2016.12.001zbMath1382.33001arXiv1408.5658OpenAlexW3101212684MaRDI QIDQ2400625

Katsunori Iwasaki

Publication date: 29 August 2017

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5658

zbMATH Keywords

hypergeometric seriesasymptotic analysisEuler gamma functionclosed-form expressioncontiguous relationgamma product formula

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (4)

\(\Gamma\)-evaluations of hypergeometric series ⋮ Contiguous relations, Laplace's methods, and continued fractions for \({}_3F_2(1)\) ⋮ DUALITY AND RECIPROCITY FOR HYPERGEOMETRIC SERIES WITH A GAMMA PRODUCT FORMULA ⋮ Three-term relations for \(_3F_2(1)\)

Uses Software

• BruteTwoFone

Cites Work

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• On a strange evaluation of the hypergeometric series by Gosper
• A generalization of Kummer's identity.
• Contiguous relations of hypergeometric series
• Algorithms for \(m\)-fold hypergeometric summation
• DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS
• Three Term Relations for the Hypergeometric Series
• Searching for Strange Hypergeometric Identities By Sheer Brute Force
• Strange Evaluations of Hypergeometric Series
• Decision procedure for indefinite hypergeometric summation
• A generalization of Euler’s hypergeometric transformation

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