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Modified degenerate Euler polynomials

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In this paper, we consider the modi ed degenerate Euler numbers and polynomials which are different from Carlitz's degenerate Euler numbers and polynomials. Finally, we give some identities arising from the fermionic p-adic integral on Zp.

Abstract

In this paper, we consider the modi ed degenerate Euler numbers and polynomials which are different from Carlitz's degenerate Euler numbers and polynomials. Finally, we give some identities arising from the fermionic p-adic integral on Zp.

참고문헌 (12)

  1. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  2. L. Carlitz, "A degenerate Staudt-Clausen theorem", Arch. Math, 7, pp.28~33 (1956)
  3. 최종성, "On the (w,q)-Euler numbers and polynomials with weight α", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(1), pp.91~100 (2012), 장전수학회
  4. D. V. Dolgy, "Degenerate poly-Cauchy polynomials", Appl. Math. Comput, 269, pp.637~646 (2015)
  5. S. Gaboury, "Some explicit formulas for certain new classes of Bernoulli, Euler and Genocchi polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(1), pp.115~123 (2014), 장전수학회
  6. J. Jeong, "On finite-times degenerate Cauchy numbers and polyno-mials", Adv. Difference Equ, 2015(321) (2015)
  7. 김대산, "Some arithmetic properties of Bernoulli and Euler numbers", Advanced Studies in Contemporary Mathematics, 22(4), pp.467~480 (2012), 장전수학회
  8. 김태균, "On the q-extension of higher-order Euler polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(3), pp.293~302 (2012), 장전수학회[DOI]
  9. T. Kim, "Degenerate q-Euler polynomials", Adv. Difference Equ, 2015(246), pp.11~ (2015)
  10. T. Kim, "Barnes' type multiple degenerate Bernoulli and Euler polynomials", Appl. Math. Comput, 258, pp.556~564 (2015)
  11. D. Lim, "Degenerate, partially degenerate and totally degenerate Daehee numbers and poly-nomials", Adv. Difference Equ, 2015(287) (2015)
  12. 유천성, "Some identities of the twisted q-Euler numbers and polynomials associated with q-Bernstein polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 14(2), pp.239~248 (2011), 장전수학회

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