Classes of series identities and associated hypergeometric reduction formulas
Authors:
Rekha Srivastava
Affiliation:
Department of Mathematics and Statistics, University of Victoria Victoria, British Columbia V8W 3R4, Canada
Abstract:
The main object of the present paper is to investigate some classes of series identities and their applications and consequences leading naturally to several (known or new) hypergeometric reduction formulas. We also indicate how some of these series identities and reduction formulas would yield several series identities which emerged recently in the context of fractional calculus (that is, calculus of integrals and derivatives of any arbitrary real or complex order).