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.