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On the q-extension of higher-order Euler polynomials

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초록

The purpose of this paper is to present a systemic study of some families of the generalized q-Euler numbers and polynomials of higher-order. In particular, by using multivariate p-adic invariant integral on Zp, we construct the generalized q-Euler numbers and polynomials of higher-order.

Abstract

The purpose of this paper is to present a systemic study of some families of the generalized q-Euler numbers and polynomials of higher-order. In particular, by using multivariate p-adic invariant integral on Zp, we construct the generalized q-Euler numbers and polynomials of higher-order.

참고문헌 (19)

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  3. M. Can, "Twisted Dedekind type sums associated with Barnes' type multiple Frobenius-Euler l-functions", Advanced Studies in Contemporary Mathematics, 18(2), pp.135~160 (2009), 장전수학회
  4. M. Cenkci, "The p-adic generalized twisted (h,q) -Euler-l-function and its applications", Advanced Studies in Contemporary Mathematics, 15(1), pp.37~47 (2007), 장전수학회
  5. N. K. Govil, "Convergence of q-Meyer-König-Zeller-Durrmeyer operators", Advanced Studies in Contemporary Mathematics, 19(1), pp.97~108 (2009), 장전수학회
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  7. 김태균, "Symmetry identities for the twisted generalized Euler polynomials", Advanced Studies in Contemporary Mathematics, 19(2), pp.151~155 (2009), 장전수학회
  8. T. Kim, "Symmetry of power sum polynomials and muktivariate fermionuc p-adic integral on Zp", Russian J. Math. Phys, 16, pp.93~96 (2009)
  9. V. Kurt, "A further symmetric relation on the analogue of the Apostol-Bernoulli and the analogue of the Apostol-Genocchi polynomials", Appl. Math. Sciences, 3(56), pp.2757~2764 (2009)
  10. 김영희, "Symmetry of power sum and twisted Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 18(2), pp.127~133 (2009), 장전수학회
  11. M. Cenkci, "The p-adic generalized twisted (h,q) -Euler-l-function and its applications", Advanced Studies in Contemporary Mathematics, 15(1), pp.37~47 (2007), 장전수학회
  12. Z. Zhang, "Some closed formulas for generalizations of Bernoulli and Euler numbers and polynomials", Proceedings of the Jangjeon Mathematical Society, 11, pp.191~198 (2008)
  13. H. Ozden, "Remarks on q-Bernoulli numbers associated with Daehee numbers", Advanced Studies in Contemporary Mathematics, 18(1), pp.41~48 (2009), 장전수학회
  14. C. P. Chen, "An inequality for the generalized-Euler-constant function", Advanced Studies in Contemporary Mathematics, 17(1), pp.105~107 (2008), 장전수학회
  15. C. S. Ryoo, "Calculating zeros of the twisted Genocchi polynomials", Advanced Studies in Contemporary Mathematics, 17(2), pp.147~159 (2008), 장전수학회
  16. 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)
  17. Y. Simsek, "On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers", Russian J. Math. Phys, 13, pp.340~348 (2006)
  18. M. Cenkci, "Some results on q-analogue of the Lerch zeta function", Adv. Stud. Contemp. Math, 12, pp.213~223 (2006)
  19. M. Cenkci, "p-adic interpolation functions and Kummer-type congruences for q-twisted and q-generalized twisted Euler numbers", Adv. Stud. Contemp. Math, 9, pp.203~216 (2004)

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