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

Dae San Kim; Hyunseok Lee; Taekyun Kim; Yuankui Ma

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arxiv 2105.12013 v1 pith:HJTHVOC4 submitted 2021-05-25 math.NT

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

Yuankui Ma , Taekyun Kim , Dae San Kim , Hyunseok Lee This is my paper

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keywords numberspolynomialscatalan-daeheeq-analoguesp-adiccatala-daeheederiveexplicit

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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.

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

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