ACTA issues

Partial-fraction expansions and well-poised bilateral series

Chu Wenchang

Acta Sci. Math. (Szeged) 64:3-4(1998), 495-513

Abstract. As a common generalization of the formulas due to Minton (1970), Karlsson (1971) and Chu (1994), a well-poised bilateral hypergeometric identity is established by means of partial-fraction expansions. The basic counterpart is also obtained by the Cauchy residue method. Several terminating cases are considered and dualized, by using the inverse series relations of Chu (1993), which results in some strange hypergeometric evaluations.

AMS Subject Classification (1991): 33A30, 05A19

Keyword(s): Inverse series relations, Partial-fraction expansion, The meromorphic function, The very well-poised series, Bilateral hypergeometric series

Received December 15, 1997. (Registered under 3304/2009.)