[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2003.18.3.581

NOTE ON SRIVASTAVA'S TRIFLE HYPERGEOMETRIC SERIES H_A AND H_C

Kim, Yong-Sup (Department of Mathematics Wonkwang University)
Rathie, Arjun-K. (Department of Mathematics Dungar College (M.D.S. University))
Choi, June-Sang (Department of Mathematics College of Natural Sciences Dongguk University)

Publication Information

Communications of the Korean Mathematical Society / v.18, no.3, 2003 , pp. 581-586 More about this Journal

Abstract

The aim of this note is to consider some interesting reducible cases of $H_{A}\;and\;H_{C}$ introduced by Srivastava who actually noticed the existence of three additional complete triple hypergeometric functions $H_{A},\;H_{B},\;and\;H_{C}$ of the second order in the course of an extensive investigation of Lauricella's fourteen hypergeometric functions of three variables.

Keywords

triple hypergeometric series $H_{A}\; and\; H_{C}$ ; Apell's function; Kummer's summation theorem; Gauss's theorem;

Citations & Related Records

Reference

1	/ [ W.N.Bailey ] / Generalized Hypergeometric Series
2	/ [ L.J.Slater ] / Generalized Hypergeometric Function
3	Hypergeometric function of three variables / [ H.M.Srivastava ] / Ganita
4	/ [ H.M.Srivastava;H.L.Manocha ] / A Treatise on Generating Functions
5	Sulle funzioni ipergeometriche a piu variabili / [ G.Lauricella ] / Rendiconti Circ. Mat. Palermo DOI
6	Hypergeometric functions of three variables / [ S.Saran ] / Ganita

1	SUMMATION FORMULAS DERIVED FROM THE SRIVASTAVA'S TRIPLE HYPERGEOMETRIC SERIES H_C / [Kim, Yong-Sup;Rathie, Arjun Kumar;Choi, June-Sang;] / Communications of the Korean Mathematical Society
2	FUNCTIONAL RELATIONS INVOLVING SRIVASTAVA'S HYPERGEOMETRIC FUNCTIONS H_B AND F⁽³⁾ / [Choi, Junesang;Hasanov, Anvar;Turaev, Mamasali;] / Journal of the Chungcheong Mathematical Society
3	FUNCTIONAL RELATIONS INVOLVING SARAN'S HYPERGEOMETRIC FUNCTIONS F_E AND F⁽³⁾ / [Kim, Yong-Sup;Hasanov, Anvar;] / The Pure and Applied Mathematics
4	Serendipitous Functional Relations Deducible from Certain Generalized Triple Hypergeometric Functions / [Choi, June-Sang;Hasanov, Anvar;Turaev, Mamasali;] / Kyungpook Mathematical Journal

1	Yong-Sup Kim. (2012) The Pure and Applied Mathematics FUNCTIONAL RELATIONS INVOLVING SARAN'S HYPERGEOMETRIC FUNCTIONS FEAND F(3) / 19 (1) , 43
2	June-Sang Choi. (2012) Kyungpook mathematical journal Serendipitous Functional Relations Deducible from Certain Generalized Triple Hypergeometric Functions / 52 (2) , 109

KSCI

NOTE ON SRIVASTAVA'S TRIFLE HYPERGEOMETRIC SERIES HA AND HC

NOTE ON SRIVASTAVA'S TRIFLE HYPERGEOMETRIC SERIES H_A AND H_C