Serendipitous Functional Relations Deducible from Certain Generalized Triple Hypergeometric Functions
Author(s) -
Junesang Choi,
Anvar Hasanov,
Mamasali Turaev
Publication year - 2012
Publication title -
kyungpook mathematical journal
Language(s) - English
Resource type - Journals
eISSN - 1225-6951
pISSN - 0454-8124
DOI - 10.5666/kmj.2012.52.2.109
Subject(s) - hypergeometric function , corollary , mathematics , hypergeometric identity , generalized hypergeometric function , bessel function , pure mathematics , confluent hypergeometric function , algebra over a field , mathematical analysis , hypergeometric function of a matrix argument
We aim at presenting certain unexpected functional relations among various hypergeometric functions of one or several variables (for example, see the identities in Corollary 5) by making use of Carlson's method employed in his work (Some extensions of Lardner's relations between and Bessel functions, SIAM J. Math. Anal. 1(2)(1970), 232-242).
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