Abstract. In this paper, we follow the approach of Miller (see [1]) and obtain generating relations of Laguerre 2D polynomials (L2DP) by extending the realization ↑_{ω,μ to study multiplier representations of a Lie group G(0,1). Certain (known or new) generating relations for the polynomials related to L2DP are obtained as special cases.}

Received: January 20, 2013

AMS Subject Classification: 33C45, 33C50, 33C80

Key Words and Phrases: Laguerre 2D polynomials, Lie algebra, generating relations

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