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Identities for the Bernoulli and Euler numbers arising from the P-adic integral on Z_p

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In this paper, we will consider identities for the Bernoulli and the Euler numbers arising from the p-adic integral on Zp. From these numbers, we establish some interesting identities.

Abstract

In this paper, we will consider identities for the Bernoulli and the Euler numbers arising from the p-adic integral on Zp. From these numbers, we establish some interesting identities.

참고문헌 (18)

  1. S. Araci, "A study on the fermionic p-adic q-integral on Zp associated with weighted q-Bernstein and q-Genocchi polynomials", Abstr. Appl. Anal, pp.10~ (2011)
  2. Abdelmejid Bayad, "Modular properties of elliptic Bernoulli and Euler functions", Advanced Studies in Contemporary Mathematics, 20(3), pp.389~401 (2010), 장전수학회
  3. A. Bayad, "Identities involving values of Bernstein, q-Bernoulli and q-Euler polynomials", Russ. J. Math. Phys, 18, pp.133~143 (2011)
  4. H. Cohen, "Number Theory", Graduate Text in Mathematics, 239 (2007), Springer
  5. L. Carlitz, "Some arithmetic properties of generalized Bernoulli numbers", Bull. Amer. Math. Soc, 65, pp.68~69 (1959)
  6. L. Carlitz, "Note on the integral of the product of several Bernoulli polynomials", J. London Math. Soc, 34, pp.361~363 (1959)
  7. M. Cenkci, "Multiple two variable p-adic q-L-function and its behavior at s = 0, Russ", J. Math. Phys, 15, pp.447~459 (2008)
  8. D. S. Kim, "Some properties and identities of Bernoulli and Euler polynomials associated with p-adic integral on Zp, (communicated)"
  9. T. Kim, "Some identities on the q-Euler polynomials of higher order and q- Stirling numbers by the fermionic p-adic integral on Zp", Russ. J. Math. Phys, 16, pp.484~491 (2009)
  10. T. Kim, "Symmetry of power sum polynomial and multivariate fermionic p-adic invariant integral on Zp", Russ. J. Math. Phys, 16, pp.93~96 (2009)
  11. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian bino- mial coecients", Russ. J. Math. Phys, 15, pp.51~57 (2008)
  12. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9, pp.288~299 (2002)
  13. T. Kim, "Identities for the Bernoulli and Euler numbers and ploynomials", Ars Combinatorics, ~ (2012)
  14. H. Ozden, "Multivariate interpolation functions of higher-order q-Euler numbers and their applications", Abstr. Appl. Anal, pp.16~ (2008)
  15. C. S. Ryoo, "Some identities of the twisted q-Euler numbers and polynomials associated with q-Bernstein polynomials", Proc. Jangjeon Math. Soc, 14, pp.239~248 (2011)
  16. Yilmaz Simsek, "Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions", Advanced Studies in Contemporary Mathematics, 16(2), pp.251~278 (2008), 장전수학회
  17. Y. Simsek, "Theorems on twisted L-function and twisted Bernoulli numbers", Adv. Stud. Contemp. Math, 11, pp.205~218 (2005)
  18. Y. Simsek, "Special functions related to Dedekin-type DC-sums and their appli- cations", Russ. J. Math. Phys, 17, pp.495~508 (2010)

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