Raina, R. K.Srivastava, H.M.2009-09-242009-09-2419942009-09-24http://hdl.handle.net/1828/1765A 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 formulasenconvolution seriesgenerating functionscombinatorial identitiesaddition formulasorthogonal polynomialsseries manipulationsoperational calculiTaylor's seriesCauchy productfractional derivativeVandermonde's convolutionbinomial expansionGould's expansion formulaRothe's identityLaguerre polynomialstechnical reports (mathematics and statistics)Some convolution series identitiesTechnical ReportDepartment of Mathematics and Statistics