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<p>In this paper, we derive a variety of interesting <i>q</i>-series that contain central Lucasnomial coefficients. Our approach is based on manipulating deformed basic hypergeometric series. Deformed <i>q</i>-analogues of the Euler, Rogers–Ramanujan, and Exton types are obtained. Additionally, we derive some generating functions of the Lucas-analogue of Catalan numbers.</p>

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Interesting deformed q-series involving the central Lucasnomial coefficients

  • 期刊论文

  • 发表日期：

    2026年8月4日

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  • Ronald Orozco

摘要

In this paper, we derive a variety of interesting q-series that contain central Lucasnomial coefficients. Our approach is based on manipulating deformed basic hypergeometric series. Deformed q-analogues of the Euler, Rogers–Ramanujan, and Exton types are obtained. Additionally, we derive some generating functions of the Lucas-analogue of Catalan numbers.