Some polynomial systems associated with a certain family of differential operators

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Title:	Some polynomial systems associated with a certain family of differential operators
Authors:	錢傳仁;Chyan, Chuan-jen;Srivastava, H. M.;陳功宇;Chen, Kung-yu
Contributors:	淡江大學數學學系
Keywords:	polynomial systems;differential operators;(linear, bilinear, and mixed multilateral) generating functions;Stirling numbers;Rodrigues formula;Lagrange expansion;Hermite polynomials;Laguerre polynomials, biorthogonality property
Date:	2002-04-01
Issue Date:	2010-01-28 07:16:48 (UTC+8)
Publisher:	Elsevier
Abstract:	The authors aim at presenting several (presumably new) classes of linear, bilinear, and mixed multilateral generating functions for some general systems of polynomials which are defined by means of a certain family of differential operators. Some of the generating functions considered here are associated with the Stirling numbers of the second kind. Many (known or new) consequences and applications of the results obtained in this paper are also indicated.
Relation:	Journal of Mathematical Analysis and Applications 268(1), pp.344-377
DOI:	10.1006/jmaa.2002.7922
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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