Deformed Newton's $(s,t)$-Binomial Series and Generating Functions of Generalized Central Binomial Coefficients and Generalized Catalan Numbers
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913454184464384 |
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| author | López, Ronald Orozco |
| author_facet | López, Ronald Orozco |
| contents | We define the deformed $(s,t)$-binomial formula and the deformed Newton $(s,t)$-binomial series, and we will use it to establish the generating functions of the generalized central binomial coefficients and the generalized Catalan numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_07431 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Deformed Newton's $(s,t)$-Binomial Series and Generating Functions of Generalized Central Binomial Coefficients and Generalized Catalan Numbers López, Ronald Orozco General Mathematics Primary 05A15. Secondary 11B39, 11B65, 05A10 We define the deformed $(s,t)$-binomial formula and the deformed Newton $(s,t)$-binomial series, and we will use it to establish the generating functions of the generalized central binomial coefficients and the generalized Catalan numbers. |
| title | Deformed Newton's $(s,t)$-Binomial Series and Generating Functions of Generalized Central Binomial Coefficients and Generalized Catalan Numbers |
| topic | General Mathematics Primary 05A15. Secondary 11B39, 11B65, 05A10 |
| url | https://arxiv.org/abs/2306.07431 |