Open AccessExpansions Of Appell And Lauricella Functions
Author(s) -
C. M. Joshi,
Nalini Joshi
Publication year - 2020
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.27.1996.3955
Subject(s) - mathematics , lauricella hypergeometric series , appell series , hypergeometric function , pure mathematics , generalized hypergeometric function , hypergeometric function of a matrix argument
Expansion formulas for 4 ' in terms of products of 2F 1 and F.g
has been obtained by Srivastava et al. [5, 3.9]. In this note we present an ex-
tension of this result. Possibility of existence of analogous formulas for Lauricella
r)functions F,4 ,F,3 and Fb are examined and corresponding results for Appell
(r) (r)hypergeometric functions are also derived.