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


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.


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.