On the Euler integral representations of hypergeometric functions in several variables

DOI10.2969/jmsj/02610001zbMath0265.33002OpenAlexW1974032385MaRDI QIDQ2562276

Tosihusa Kimura, Akio Hattori

Publication date: 1974

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

Full work available at URL: https://doi.org/10.2969/jmsj/02610001

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Homology with local coefficients, equivariant cohomology (55N25) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to several complex variables and analytic spaces (32-00)

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Series expansions of multi-dimensional Mellin convolution integrals ⋮ On the structure of cohomology groups attached to the integral of certain many-valued analytic functions ⋮ Appell-Kampé de Fériet hypergeometric functions of two variables ⋮ Conformal blocks of minimal models on a Riemann surface ⋮ Evaluation of integrals and the Mellin transform ⋮ INTEGRAL REPRESENTATIONS FOR HORN'S <i>H</i>₂ FUNCTION AND OLSSON'S <i>F_P</i> FUNCTION ⋮ LAURICELLA HYPERGEOMETRIC FUNCTIONS, UNIPOTENT FUNDAMENTAL GROUPS OF THE PUNCTURED RIEMANN SPHERE, AND THEIR MOTIVIC COACTIONS

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