Abstract

In this paper we have obtained a new and known general class of bilateral and bilinear generating functions involving modified Konhauser biorthogonal \(Y_s^α (x;k)\), modified Bessel \(Y_s^n (u)\) and Laguerre polynomials \(L_n^α (x)\) by group theoretic method. As in particular cases we have obtained bilinear and unilateral generating functions. Consequently we recover the result of Rainville, Srivastava Manocha and McBride [25, 29, 23] and notice that the result of Das and Chatterjea [13] is the particular case of our result.

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