Geodesic
A study on q-analogues of Catalan-Daehee numbers and polynomials
Filomat, Tome 36 (2022) no. 5, p. 1499

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DOI

Catalan-Daehee numbers and polynomials, generating functions of which can be expressed as p-adic Volkenborn integrals on Z p , 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 on Z p. We derive, among other things, some explicit expressions for the q-analogues of the Catalan-Daehee numbers and polynomials.
DOI : 10.2298/FIL2205499M
Classification : 11B68, 11B83, 11S80
Keywords: q-analogue of Catalan-Daehee numbers, q-analogue of Catalan-Daehee polynomials, p-adic q-integral on Zp 
Yuankui Ma; Taekyun Kim; San Kim; Hyunseok Lee. A study on q-analogues of Catalan-Daehee numbers and polynomials. Filomat, Tome 36 (2022) no. 5, p. 1499 . doi: 10.2298/FIL2205499M
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     title = {A study on q-analogues of {Catalan-Daehee} numbers and polynomials},
     journal = {Filomat},
     pages = {1499 },
     year = {2022},
     volume = {36},
     number = {5},
     doi = {10.2298/FIL2205499M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2205499M/}
}
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