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SOME NEW IDENTITIES OF SYMMETRY FOR MODIFIED DEGENERATE EULER POLYNOMIALS

김태균|서종진|권혁인
장전수학회 (Jangjeon Mathematical Society)|2016.04|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제19권 제2호|pp. 237-242|DOI 10.17777/pjms.2016.19.2.005

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참고문헌

키워드

Euler polynomialsdegenerate Euler polynomialsfermionic p-adic integral Zp
주제분류수학

초록

Recently, modified degenerate Euler polynomials were intro- duced by Kwon-Kim-Seo (See [13]). The purpose of this paper is to give some new and explicit identities of symmetry for the modified degenerate Euler polynomials arising from the fermionic p-adic integral on Zp.

Abstract

Recently, modified degenerate Euler polynomials were intro- duced by Kwon-Kim-Seo (See [13]). The purpose of this paper is to give some new and explicit identities of symmetry for the modified degenerate Euler polynomials arising from the fermionic p-adic integral on Zp.

참고문헌 (15)

  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. (Basel), 7, pp.28~33 (1956)
  3. A. Bayad, "Apostol–Euler polynomials and asymptotics for negative binomial reciprocals", Advanced Studies in Contemporary Mathematics, 24(1), pp.33~37 (2014), 장전수학회
  4. 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
  5. D. S. Kim, "Identities of symmetry for generalized q-Euler polynomials arising from multivariate fermionic -adic integral on Z_p", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(4), pp.519~525 (2014), 장전수학회
  6. T. Kim, "Identities of symmetry for higher-order -Euler polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(2), pp.161~167 (2014), 장전수학회
  7. 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]
  8. 김대산, "Identities of symmetry for higher-order Euler polynomials in three variables (I)", Advanced Studies in Contemporary Mathematics, 22(1), pp.51~74 (2012), 장전수학회
  9. T. Kim, "Symmetric identities for q-Euler polynomials under the fourth Dihedral group", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(2), pp.217~223 (2015), 장전수학회
  10. 김태균, "A NOTE ON SYMMETRIC IDENTITIES FOR THE GENERALIZED q-EULER POLYNOMIALS OF THE SECOND KIND", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(3), pp.375~381 (2014), 장전수학회
  11. T. Kim, "Some identities of q-Euler Polyno-mials under the Symmetric Group of Degree n", J. Nonlinear Sci. Appl, 9, pp.1077~1082 (2016)
  12. D. S. Kim, "Symmetric identities of higher-order degenerate q-Euler polynomaisl", J. Nonlinear Sci. Appl, 9, pp.443~451 (2016)
  13. 권혁인, "Modified degenerate Euler polynomials", Advanced Studies in Contemporary Mathematics, 26(1), pp.203~209 (2016), 장전수학회
  14. Erdogan Sen, "THEOREMS ON APOSTOL-EULER POLYNOMIALS OF HIGHER ORDER ARISING FROM EULER BASIS", Advanced Studies in Contemporary Mathematics, 23(2), pp.337~346 (2013), 장전수학회
  15. J. J. Seo, "Some symmetric identities of the modified q-Euler polynomials under symmetric group of degree four", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(2), pp.211~216 (2015), 장전수학회

관련 논문AI추천

SYMMETRY IDENTITIES OF DEGENERATE EULER POLYNOMIALST. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호IDENTITIES OF SYMMETRY FOR DEGENERATE q-EULER POLYNOMIALSD. V. Dolgy, J. J. Seo, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호Modified degenerate Euler polynomials권혁인, 김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호SOME IDENTITIES FOR DEGENERATE EULER NUMBERS AND POLYNOMIALS ARISING FROM DEGENERATE BELL POLYNOMIALS권혁인, 김태균, 서종진, Dmitry V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제3호Some identities of symmetry for modified degenerate Frobenius-Euler polynomials권혁인, 김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제2호ON THE SYMMETRIC IDENTITIES OF MODIFIED DEGENERATE BERNOULLI POLYNOMIALS김태균, 서종진, D. V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제2호

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