TWO VARIABLE MODIFIED LAGUERRE POLYNOMIALS AND THEIR GENERATING RELATIONS

Print ISSN: 0972-7752

Abstract

In this paper, the notion of two variable modified Laguerre polynomials (TVMLP) Lα,β,m,n(x,y) is given and their generating relations are derived. The process involves the problem of framing TVMLP into the context of the representation ↑­ω,μ of a Lie algebra G(0,1). Certain new and known generating relations for the polynomials related to TVMLP are also obtained as special cases

Keywords and Phrases

Two variable Laguerre polynomials, Lie algebra, generating relations.

A.M.S. subject classification

33C45, 33C50, 33C80.

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