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Keywords = twisted Catalan numbers

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11 pages, 264 KB  
Article
Some Explicit Expressions for Twisted Catalan-Daehee Numbers
by Dongkyu Lim
Symmetry 2022, 14(2), 189; https://doi.org/10.3390/sym14020189 - 19 Jan 2022
Cited by 3 | Viewed by 1796
Abstract
In this paper, the author considers the twisted Catalan numbers and the twisted Catalan-Daehee numbers, which are arisen from p-adic fermionic integrals and p-adic invariant integrals, respectively. We give some explicit identities and properties for those twisted numbers and polynomials by [...] Read more.
In this paper, the author considers the twisted Catalan numbers and the twisted Catalan-Daehee numbers, which are arisen from p-adic fermionic integrals and p-adic invariant integrals, respectively. We give some explicit identities and properties for those twisted numbers and polynomials by using p-adic integrals or generating functions. Full article
(This article belongs to the Special Issue Recent Advances in Special Functions and Their Applications)
7 pages, 248 KB  
Article
Some Identities on the Twisted q-Analogues of Catalan-Daehee Numbers and Polynomials
by Dongkyu Lim
Axioms 2022, 11(1), 9; https://doi.org/10.3390/axioms11010009 - 23 Dec 2021
Viewed by 2775
Abstract
In this paper, the author considers twisted q-analogues of Catalan-Daehee numbers and polynomials by using p-adic q-integral on Zp. We derive some explicit identities for those twisted numbers and polynomials related to various special numbers and polynomials. Full article
(This article belongs to the Special Issue p-adic Analysis and q-Calculus with Their Applications)
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