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

Volume 10, Issue 5, pp 2767--2777 Publication Date: May 25, 2017       Article History
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### Authors

Ahmet Yardimci - Department of Biostatistics and Medical Informatics, Faculty of Medicine, University of Akdeniz, TR-07058 Antalya, Turkey. Yilmaz Simsek - Department of Mathematics, Faculty of Science, University of Akdeniz, TR-07058 Antalya, Turkey.

### 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.

### 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

•  11B68
•  11S40
•  11S80
•  20C11
•  26C05
•  26C10

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