Abstract
In this paper, we consider the degenerate forms of the Catalan–Daehee polynomials and numbers by the Volkenborn integrals and obtain diverse explicit expressions and formulas. Moreover, we show the expressions of the degenerate Catalan–Daehee numbers in terms of λ-Daehee numbers, Stirling numbers of the first kind and Bernoulli polynomials, and we also obtain a relation covering the Bernoulli numbers, the degenerate Catalan–Daehee numbers and Stirling numbers of the second kind. In addition, we prove an implicit summation formula and a symmetric identity, and we derive an explicit expression for the degenerate Catalan–Daehee polynomials including the Stirling numbers of the first kind and Bernoulli polynomials.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference21 articles.
1. Explicit expressions for Catalan-Daehee numbers;Dolgy;Proc. Jangjeon Math. Soc.,2017
2. A Survey on p-Adic Integrals
3. On degenerate q-Daehee numbers and polynomials
4. Explicit expression for symmetric identities of w-Catalan–Daehee polynomials
5. A note on q-analogue of Catalan numbers arising from fermionic p-adic q-integral on Zp;Kim;Adv. Stud. Contemp. Math.,2021
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献