Title of article :
Identities for Korobov-type polynomials arising from functional equations and padic integrals
Author/Authors :
Yardimci ، Ahmet - University of Akdeniz , Simsek ، Yilmaz - University of Akdeniz
Abstract :
By using generating functions and their functional equations for the special numbers and polynomials, we derive various identities and combinatorial sums including the Korobovtype polynomials, the Bernoulli numbers, the Stirling numbers, the Daehee numbers and the Changhee numbers. Furthermore, by using the Volkenborn integral and the fermionic padic 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 , padic integral
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications