Rogers-Ramanujan Type q-Exponential Operator and Stieljes-Widgert Polynomials

Abstract

In this paper, we use the Rogers-Ramanujan type q-exponential operator R(qDq) to derive generating functions, and Mehler and Rogers formulas, for the non-normalized homogeneous Stieljes-Wigert polynomials Sn(x,y;q).

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