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arXiv · 2503.13539

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

Ronald Orozco López
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Abstract

In this paper, we use the Rogers-Ramanujan type $q$-exponential operator $\mathcal{R}(qD_{q})$ to derive generating functions, and Mehler and Rogers formulas, for the non-normalized homogeneous Stieljes-Wigert polynomials $\mathrm{S}_{n}(x,y;q)$.

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Ronald Orozco López. 2025-03-16. Rogers-Ramanujan Type $q$-Exponential Operator and Stieljes-Widgert Polynomials. https://arxiv.org/abs/2503.13539

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