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ON THE GENERALIZED DEGENERATE EULER NUMBERS AND POLYNOMIALS

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주제분류수학

초록

In this paper, we construct the generalized Euler polynomi- als attached to χ and investigate some properties of these numbers and polynomials.

Abstract

In this paper, we construct the generalized Euler polynomi- als attached to χ and investigate some properties of these numbers and polynomials.

참고문헌 (11)

  1. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math., 15, pp.51~88 (1979)
  2. D. V. Dolgy, "Barnes-type degenerate Euler polynomilas", Appl. Math. Comput., 261, pp.388~396 (2015)
  3. D. S. Kim, "Some identities of degenerate Euler polynomials arising from p-adic fermionic integrals on Zp", Integral Transforms Spec. Funct., 26(4), pp.295~302 (2015)
  4. 김대산, "Symmetry identities for generalized twisted Euler polynomials twisted by unramified roots of unity", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(3), pp.303~316 (2012), 장전수학회[DOI]
  5. 김대산, "Identities associated with generalized twisted Euler polynomials twisted by ramified roots of unity", Advanced Studies in Contemporary Mathematics, 22(3), pp.363~377 (2012), 장전수학회[DOI]
  6. 김태균, "Symmetry identities for the twisted generalized Euler polynomials", Advanced Studies in Contemporary Mathematics, 19(2), pp.151~155 (2009), 장전수학회
  7. T. Kim, "Barnes' type multiple degenerate Bernoulli and Euler polynomials", Appl. Math. Comput, 258, pp.556~564 (2015)
  8. T. Kim, "On a p-adic interpolation function for the multiple generalized Euler numbers and its derivatives", J. Comput. Anal. Appl., 14(3), pp.410~416 (2012)
  9. T. Kim, "An identity of symmetry for the generalized Euler polynomials", J. Comput. Anal. Appl., 13(7), pp.1292~1296 (2011)
  10. T. Kim, "Symmetry p-adic invariant integral on Zp for Bernoulli and Euler polynomials", J. Difference Equ. Appl., 14(12), pp.1267~1277 (2008)
  11. T. Kim, "Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integral on Zp", Russ. J. Math. Phys., 16(1), pp.93~96 (2009)

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