Some convolution series identities
Date
2009-09-24T22:40:08Z
Authors
Raina, R. K.
Srivastava, H.M.
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
A representation of a convolution series involving arbitrary sequences is obtained in terms of the derivatives of known generating functions. Another variation of the main result is given, and applications are shown to yield certain combinatorial identities and addition formulas
Description
Keywords
convolution series, generating functions, combinatorial identities, addition formulas, orthogonal polynomials, series manipulations, operational calculi, Taylor's series, Cauchy product, fractional derivative, Vandermonde's convolution, binomial expansion, Gould's expansion formula, Rothe's identity, Laguerre polynomials, technical reports (mathematics and statistics)