CONNECTION FORMULAS RELATED WITH APPELL'S F2, HORN'S H2 AND OLSSON'S FP FUNCTIONS

Author:

MIMACHI Katsuhisa1

Affiliation:

1. Department of Pure and Applied Mathematics Osaka University

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Reference13 articles.

1. [AKdF] P. Appell and J. Kempé de Fériet. Fonctions Hypergéométriques et Hypersphériques; Polynomes d'Hermite. Gauthier-Villars, Paris, 1926.

2. [DK] E. Diekema and T. H. Koornwinder. Integral representations for Horn's H2 function and Olsson's FP function. Kyushu J. Math. 73 (2019), 1-24.

3. [Er] A. Erdélyi et al. (Eds). Higher Transcendental Functions, Vol. 1 (Bateman Manuscript Project). McGraw-Hill, New York, 1953.

4. [Ka] M. Kato. Connection formulas and irreducibility conditions for Appell's F2. Kyushu J. Math. 66 (2012), 325-363.

5. [Ki] M. Kita. On hypergeometric functions in several variables. I. New integral representations of Euler type. Japan. J. Math. 18 (1992), 25-74.

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