A new summation identity for the Srivastava-Singhal polynomials

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Title:	A new summation identity for the Srivastava-Singhal polynomials
Authors:	陳功宇;Chen, Kung-yu
Contributors:	淡江大學數學學系
Keywords:	Laguerre polynomials;Generating functions;Srivastava–Singhal polynomials;Stirling numbers of the second kind;Konhauser biorthogonal polynomials;Hermite polynomials
Date:	2004-10-15
Issue Date:	2010-01-28 07:17:32 (UTC+8)
Publisher:	Elsevier
Abstract:	In his recent investigations involving differential operators for some generalizations of the classical Laguerre polynomials, H. Bavinck [J. Phys. A Math. Gen. 29 (1996) L277–L279] encountered and proved a certain summation identity for the classical Laguerre polynomials. The main object of this sequel to Bavinck's work is to prove a generalization of this summation identity for the Srivastava–Singhal polynomials. The demonstration, which is presented here in the general case, differs markedly from the earlier proof given for the known special case. It is also indicated how the general summation identity can be applied to derive the corresponding result for one class of the Konhauser biorthogonal polynomials.
Relation:	Journal of Mathematical Analysis and Applications 298(2), pp.411-417
DOI:	10.1016/j.jmaa.2004.05.043
Appears in Collections:	[Department of Applied Mathematics and Data Science] Journal Article

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