Identities for Korobov-type polynomials arising from functional equations and p-adic integrals
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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.
Share and Cite
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
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.
MSC
- 11B68
- 11S40
- 11S80
- 20C11
- 26C05
- 26C10
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