Abstract
The purpose of this paper is to construct extended q-Euler numbers and polynomials related to fermionic p-adic q-integral on ℤ p . By evaluating a multivariate p-adic q-integral on ℤ p , we give new explicit formulas related to these numbers and polynomials.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
T. Kim, “q-Volkenborn Integration,” Russ. J. Math. Phys. 9, 288–299 (2002).
T. Kim, “On the q-Extension of Euler and Genocchi Numbers,” J. Math. Anal. Appl. 326, 1458–1465 (2007).
T. Kim, “q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals,” J. Nonlinear Math. Phys. 14, 15–27 (2007).
T. Kim and S.-H. Rim, “New Changhee q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals,” Comput. Math. Appl. (communicated).
T. Kim, “q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals and Basic q-Zeta Function,” Trends Math. 9, 7–12 (2006).
Y. Simsek, “Theorems on Twisted L-Function and Twisted Bernoulli Numbers,” Adv. Stud. Contemp. Math. 11, 205–218 (2005).
J. Y. Sug and S. D. Choi, “Quantum Transport Theory Based on the Equilibrium Density Projection Technique,” Phys. Rev. E 55, 314–321 (1997).
J. Y. Sug, S. G. Jo, J. Kim, J. H. Lee, and S. D. Choi, “Quantum Transition Processes in Deformation Potential Interacting Systems Using the Equilibrium Density Projection Technique,” Phys. Rev. B 64, 235210(-1)–235210(-9) (2001).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kim, T., Choi, J.Y. & Sug, J.Y. Extended q-euler numbers and polynomials associated with fermionic p-adic q-integral on Z p . Russ. J. Math. Phys. 14, 160–163 (2007). https://doi.org/10.1134/S1061920807020045
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1061920807020045