Vol. 37, No. 3, 1971

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On the other set of the biorthogonal polynomials suggested by the Laguerre polynomials

Tilak Raj Prabhakar

Vol. 37 (1971), No. 3, 801–804
Abstract

Recently Konhauser considered the biorthogonal pair of polynomial sets {Znα(x;k)} and {Y nα(x;k)} over (0,) with respect to the weight function xαex and the basic polynomials xk and x. For the polynomials Y nα(x;k), a generating function, some integral representations, two finite sum formulae, an infinite series and a generalized Rodrigues formula are obtained in this paper.

Mathematical Subject Classification
Primary: 33A65
Milestones
Received: 29 June 1970
Published: 1 June 1971
Authors
Tilak Raj Prabhakar