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arXiv · 2105.12013

Study on q-analogues of Catala-Daehee numbers and polynomials

Yuankui Ma·Taekyun Kim·Dae San Kim·Hyunseok Lee
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Abstract

Catalan-Daehee numbers and polynomials, generating functions of which can be expressed as p-adic Volkenborn integrals on Zp, were studied previously. The aim of this paper is to introduce q-analogues of the catalan-Daehee numbers and polynomials with the help of p-adic q-integrals von Zp. We derive, among other thing, some explicit expressions for the q-analogues of the Catalan-Daehee numbers and polynomials.

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Yuankui Ma, Taekyun Kim, Dae San Kim, Hyunseok Lee. 2021-05-25. Study on q-analogues of Catala-Daehee numbers and polynomials. https://arxiv.org/abs/2105.12013

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