Rogers-Ramanujan Type $q$-Exponential Operator and Stieljes-Widgert Polynomials
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915202917728256 |
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| author | López, Ronald Orozco |
| author_facet | López, Ronald Orozco |
| contents | 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 $\mathrm{S}_{n}(x,y;q)$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_13539 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rogers-Ramanujan Type $q$-Exponential Operator and Stieljes-Widgert Polynomials López, Ronald Orozco Combinatorics Primary 05A30. Secondary 11B39, 33D15, 33D45 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 $\mathrm{S}_{n}(x,y;q)$. |
| title | Rogers-Ramanujan Type $q$-Exponential Operator and Stieljes-Widgert Polynomials |
| topic | Combinatorics Primary 05A30. Secondary 11B39, 33D15, 33D45 |
| url | https://arxiv.org/abs/2503.13539 |