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A NEW APPROACH OF q-EULER NUMBERS AND POLYNOMIALS

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초록

The main purpose of this paper is to consider a new q-extension of Euler numbers and polynomials and present a systemic study for the q-Euler numbers and polynomials which are newly constructed in this paper.

Abstract

The main purpose of this paper is to consider a new q-extension of Euler numbers and polynomials and present a systemic study for the q-Euler numbers and polynomials which are newly constructed in this paper.

참고문헌 (12)

  1. I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
  2. T. Kim, "Note on the Euler q zeta functions", Journal of Number Theory, 129, pp.1798~1804 (2009)
  3. 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)
  4. T. Kim, "A note on q Bernstein polynomials" (2010), Russ. J. Math. Phys
  5. 김태균, "On extended Carlitz’'s type q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 20(4), pp.499~505 (2010), 장전수학회
  6. T. Kim, "A note on the modi ed q Berstein polynomials", Discrete Dynamics in Nature and Society, 2010, pp.12~ (2010)
  7. B. A. Kupershmidt, "Re°ection symmetries of q Bernoulli polynomials", J. Nonlinear Math. Phys, 12, pp.412~422 (2005)
  8. V. Kurt, "A further symmetric relation on the analogue of the Apostol Bernoulli and the analogue of the Apostol Genocchi polynomials", Appl. Math. Sci, 3, pp.53~56 (2009)
  9. T. Kim, "q Euler number and polynomials associated with p adic q integrals", J. Nonlinear Math. Phys, 14, pp.15~27 (2007)
  10. T. Kim, "New approach to q Euler polynomials of higher order", Russ. J. Math. Phys, 17, pp.218~225 (2010)
  11. T. Kim, "Barnes type multiple q zeta functions and q Euler polynomials", J. Phys. A: Math. Theor, 43(255201), pp.11~ (2010)
  12. 유천성, "On the generalized Barnes type multiple q-Euler polynomials twisted by ramified roots of unity", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 13(2), pp.255~263 (2010), 장전수학회

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