Original Article
Kyungpook Mathematical Journal 2012; 52(2): 109-136
Published online June 23, 2012
Copyright © Kyungpook Mathematical Journal.
Serendipitous Functional Relations Deducible from Certain Generalized Triple Hypergeometric Functions
Junesang Choi , Anvar Hasanov and Mamasali Turaev
Department of Mathematics, Dongguk University, Gyeongju, 780-714, Korea
Received: June 23, 2012; Revised: June 23, 2012; Accepted: June 23, 2012
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 ${}_0F_3$ and Bessel functions, SIAM J. Math. Anal. 1(2)(1970), 232-242).
Keywords: eneralized hypergeometric series, Pochhammer symbol, Gauss function, Appell-Kampé, de Fé,riet functions, Bessel functions, Kelvin's functions, Srivastava's hypergeometric functions.