Identities for Korobov-type polynomials arising from functional equations and p-adic integrals
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, vol.10, no.5, pp.2767-2777, 2017 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 10 Issue: 5
- Publication Date: 2017
- Doi Number: 10.22436/jnsa.010.05.43
- Journal Name: JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), zbMATH
- Page Numbers: pp.2767-2777
- Keywords: Bernoulli numbers and polynomials, Euler numbers and polynomials, Daehee numbers and polynomials, Changhee numbers and polynomials, Lah numbers, Apostol-Daehee numbers, Korobov polynomials, Stirling numbers, generating functions, functional equation, p-adic integral, Q-BERNOULLI NUMBERS, EULER
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: Yes
Abstract
By using generating functions and their functional equations for the special numbers and polynomials, we derive various identities and combinatorial sums including the Korobov-type polynomials, the Bernoulli numbers, the Stirling numbers, the Daehee numbers and the Changhee numbers. Furthermore, by using the Volkenborn integral and the fermionic p-adic integral, we also derive combinatorial sums associated with the Korobov-type polynomials, the Lah numbers, the Changhee numbers and the Daehee numbers. Finally, we give a conclusion on our results. (C) 2017 All rights reserved.