Some convolution series identities

Date

2009-09-24T22:40:08Z

Authors

Raina, R. K.
Srivastava, H.M.

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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

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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

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