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


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.


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ISRP Style

Ahmet Yardimci, Yilmaz Simsek, Identities for Korobov-type polynomials arising from functional equations and p-adic integrals, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2767--2777

AMA Style

Yardimci Ahmet, Simsek Yilmaz, Identities for Korobov-type polynomials arising from functional equations and p-adic integrals. J. Nonlinear Sci. Appl. (2017); 10(5):2767--2777

Chicago/Turabian Style

Yardimci, Ahmet, Simsek, Yilmaz. "Identities for Korobov-type polynomials arising from functional equations and p-adic integrals." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2767--2777


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