Connection Problem for the Generalized Hypergeometric Function

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 15 Dec 2021Embargo end date: 01 Apr 2019 English Publisher:Division of Functional Equations, The Mathematical Society of Japan (JST)Journal:Funkcialaj Ekvacioj, volume 64, pages 323-348 (issn: 0532-8721,

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Authors: Matsuhira, Yuya; Nagoya, Hajime;

doi: 10.1619/fesi.64.323 , 10.48550/arxiv.1904.02935

arXiv: 1904.02935

Connection Problem for the Generalized Hypergeometric Function

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Abstract

We solve connection problem between fundamental solutions at singular points $0$ and $1$ for the generalized hypergeometric function, using analytic continuation of the integral representation. All connection coefficients are products of the sine and the cosecant.

18 pages

Related Organizations

Kanazawa University
Japan

Keywords

Hypergeometric integrals, The generalized hypergeometric function, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics

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