Some identities on the q-Euler polynomials of higher order and q-stirling numbers by the fermionic p-adic integral on ℤp

Russian Journal of Mathematical Physics

Volumn 16, Issue 4, 2009, Pages 484-491

  Kim, T ^a  

^a Kwangwoon University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77951456839     PISSN: 10619208     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1061920809040037     Document Type: Article

References (23)

1. I. N. Cangul, H. Ozden, and Y. Simsek, "A New Approach to q-Genocchi Numbers and Their Interpolation Functions," Nonlinear Anal. (in press; doi: 10. 1016/j. na. 2008. 11. 040).
2. L. Comtet, Advanced Combinatorics (D. Reidel, Dordrecht, 1974).
3. E. Y. Deeba and D. M. Rodriguez, "Stirling's Series and Bernoulli Numbers," Amer. Math. Monthly 98, 423-426 (1991).
4. M. Cenkci, M. Can, and V. Kurt, "p-Adic Interpolation Functions and Kummer-Type Congruences for q-Twisted Euler Numbers," Adv. Stud. Contemp. Math. 9, 203-216 (2004).
5. T. Kim, S.-D. Kim, and D.-W. Park, "On Uniform Differentiability and q-Mahler Expansions," Adv. Stud. Contemp. Math. 4, 35-41 (2001).
6. T. Kim, "The Modified q-Euler Numbers and Polynomials," Adv. Stud. Contemp. Math. 16, 161-170 (2008).
7. T. Kim, "Euler Numbers and Polynomials Associated with Zeta Functions," Abstr. Appl. Anal. (2008), 11 pages (Article ID 581582).
8. K. Shiratani and S. Yamamoto, "On a p-Adic Interpolation Function for the Euler Numbers and Its Derivatives," Mem. Fac. Sci. Kyushu Univ. Ser. A 39, 113-125 (1) (1985).
9. T. Kim, "Note on the Euler q-Zeta Functions," J. Number Theory (in press, doi: 10. 1016/j. jnt, 2009).
10. T. Kim, "q-Volkenborn Integration," Russ. J. Math. Phys. 9(2), 288-299 (2002).
11. T. Kim, "A Note on p-Adic q-Integral on Zp Associated with q-Euler Numbers," Adv. Stud. Contemp. Math. 15(2), 133-138 (2007).
12. T. Kim, "On p-Adic Interpolating Function for q-Euler Numbers and Its Derivatives," J. Math. Anal. Appl. 339(1), 598-608 (2008).
13. T. Kim, "q-Extension of the Euler Formula and Trigonometric Functions," Russ. J. Math. Phys. 14(3), 275-278 (2007).
14. T. Kim, "Power Series and Asymptotic Series Associated with the q-Analog of the Two-Variable p-Adic L-Function," Russ. J. Math. Phys. 12(2), 186-196 (2005).
15. T. Kim, "Non-Archimedean q-Integrals Associated with Multiple Changhee q-Bernoulli Polynomials," Russ. J. Math. Phys. 10(1), 91-98 (2003).
16. T. Kim, "q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals," J. Nonlinear Math. Phys. 14(1), 15-27 (2007).
17. H. Ozden, Y. Simsek, S.-H. Rim, and I. N. Cangul, "A Note on p-Adic q-Euler Measure," Adv. Stud. Contemp. Math. 14(2), 233-239 (2007).
18. M. Schork, "Ward's "Calculus of Sequences," q-Calculus and the Limit q → -1," Adv. Stud. Contemp. Math. 13(2), 131-141 (2006).
19. M. Schork, "Combinatorial Aspects of Normal Ordering and Its Connection to q-Calculus," Adv. Stud. Contemp. Math. 15(1), 49-57 (2007).
20. Y. Simsek, "On p-Adic Twisted q-L-Functions Related to Generalized Twisted Bernoulli Numbers," Russ. J. Math. Phys. 13(3), 340-348 (2006).
21. Y. Simsek, "Theorems on Twisted L-Function and Twisted Bernoulli Numbers," Adv. Stud. Contemp. Math. 11(2), 205-218 (2005).
22. Y. Simsek, "q-Dedekind Type Sums Related to q-Zeta Function and Basic L-Series," J. Math. Anal. Appl. 318(1), 333-351 (2006).
23. H. J. H. Tuenter, "A Symmetry of Power Sum Polynomials and Bernoulli," Amer. Math. Monthly 108(3), 258-261 (2001).