A generalization of Euler’s hypergeometric transformation

DOI10.1090/S0002-9947-05-04045-6zbMath1078.33004arXivmath/0302084WikidataQ62796085 ScholiaQ62796085MaRDI QIDQ5694971

Robert S. Maier

Publication date: 6 October 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0302084

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (12)

Analysis of atomic integrals involving explicit correlation factors for the three-electron case. I: Connection to the hypergeometric function \(_{3}F_{2}\) ⋮ Another class of nonterminating \(_3F_2\)-series with a free argument ⋮ Hypergeometric series with gamma product formula ⋮ The Beta‐Pochhammer and its application to arbitrary threshold phase error probability of a vector in Gaussian noise ⋮ Random continued fractions with beta-hypergeometric distribution ⋮ Nonterminating ₃F₂-series with a free variable ⋮ Non-terminating₃F₂-series with unit argument ⋮ Beta-hypergeometric distributions and random continued fractions ⋮ Hilbert series of the Grassmannian and \(k\)-Narayana numbers ⋮ Extensions of the classical theorems for very well-poised hypergeometric functions ⋮ Hypergeometric identities arising from the elephant random walk ⋮ Some mysterious-looking \(_2F_1\)-series through the telescoping method

Uses Software

• SumTools

Cites Work

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