Identities for Korobov-type polynomials arising from functional equations and p-adic integrals


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YARDIMCI A., ŞİMŞEK Y.

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, vol.10, no.5, pp.2767-2777, 2017 (SCI-Expanded) identifier

  • 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
  • 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.