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On the modified q-Euler numbers of higher order with weight

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The purpose of this paper is to give some properties of the modi ed q-Euler numbers and polynomials of higher-order with weight, by using the multivariate p-adic q-integral on Zp.

Abstract

The purpose of this paper is to give some properties of the modi ed q-Euler numbers and polynomials of higher-order with weight, by using the multivariate p-adic q-integral on Zp.

참고문헌 (17)

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  2. A. Bayad, "Some identities on Bernstein polynomials associated with q-Euler polynomials", Abstract and Applied Analysis, 2011, pp.10~ (2011)
  3. J.S. Choi, "A recurrence formula for q-Euler numbers of higher order", Proceedgins of The Janjeon Math. Soc, 13(3), pp.321~326 (2010)
  4. 황경원, "On the Higher-Order q-Euler Numbers and Polynomials with Weight alpha", DISCRETE DYNAMICS IN NATURE AND SOCIETY, v.2011(ID354329), pp.12~, HINDAWI PUBLISHING CORPORATION
  5. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9, pp.288~299 (2002)
  6. 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)
  7. T. Kim, "Barnes-type multiple q-zeta functions and q-Euler polynomials", J. Phys. A: Math. Theor, 43, pp.11~ (2010)
  8. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coecients", Russ. J. Math. Phys, 15, pp.51~57 (2007)
  9. T. Kim, "A new approach of q-Euler numbers and polynomials", Proc. Jangjeon Math. Soc, 14(1), pp.7~14 (2011)
  10. T. Kim, "On the weighted q-Bernoulli numbers and polynomials", ~
  11. T. Kim, "On a p-adic interpolating function for the multiple generalized Euler numbers and its derivatives", ~
  12. T. Kim, "A note on q-Bernstein polynomials", Russ. J. Math. Phys, 18(2), pp.41~50 (2011)
  13. T. Kim, "Identities of the weighted q-Euler and q-Bernstein polynomials and numbers", ~
  14. H. Ozden, "Remarks on q-Bernoulli numbers associated with Daehee numbers", Advanced Studies in Contemporary Mathematics, 18(1), pp.41~48 (2009), 장전수학회
  15. S.-H. Rim, "A note on the modi ed q-Euler and q-Bernstein polynomials with weight α", in International Mathematical Forum
  16. S.-H. Rim, "Identities on the modied q-Euler numbers and polynomials and num- bers with weight", ~
  17. C. S. Ryoo, "Some identities of the twisted q-Euler numbers and polynomials associated with q- Bernstein polynomials", Proceedings of the Jangieon Mathematical Society, 14, pp.239~348 (2011)

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