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Identities of symmetry for the higher-order Carlitz's degenerate q-Euler polynomials under the symmetry group of degree 3

Identities of symmetry for the higher-order Carlitz's degenerate -Euler polynomials under the symmetry group of degree 3

김태균|권혁인|DMITRY V. DOLGY
장전수학회 (Jangjeon Mathematical Society)|2016.10|Advanced Studies in Contemporary Mathematics|제26권 제4호|pp. 595-600

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참고문헌

키워드

p-adic q-integraldegenerate q-Euler numberhigher-order Carlitz q-Euler numbers
주제분류수학

초록

In this paper, we give some symmetric identities for the higher-order degenerate q-Euler polynomials under the symmetry group of degree 3 arising from the fermionic p-adic q-integral on Zp.

Abstract

In this paper, we give some symmetric identities for the higher-order degenerate q-Euler polynomials under the symmetry group of degree 3 arising from the fermionic p-adic q-integral on Zp.

참고문헌 (14)

  1. L. Carlitz, "Expansions of q-Bernoulli numbers", Duke Math. J., 25, pp.355~364 (1958)
  2. L. Carlitz, "q-Bernoulli and Eulerian numbers", Trans. Amer. Math. Soc, 76, pp.332~350 (1954)
  3. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  4. D. V Dolgy, "Identities of symmetry for higher-order generalized q-Euler polynomials Abstr", Appl. Anal, pp.6~ (2014)
  5. K.-W. Hwang, "Some theorems on Bernoulli and Euler numbers", Ars Combin, 109, pp.285~297 (2013)
  6. Y. He, "Symmetric identities for Carlitz's q-Bernoulli numbers and polynomials", Adv. Difference Equ, 2013(246), pp.10~ (2013)
  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. D. S. Kim, "Symmetric identities of higher-order degenerate q-Euler polynomials", J. Nonlinear Sci. Appl, 9(2), pp.443~451 (2016)
  10. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9(3), pp.288~299 (2002)
  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)
  12. 김영희, "Symmetry of power sum and twisted Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 18(2), pp.127~133 (2009), 장전수학회
  13. S.-H. Rim, "On the modiffed q-Euler polynomials with weight", Adv. Difference Equ, 2013(356), pp.7~ (2013)
  14. 유천성, "A note on the weighted q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(1), pp.47~54 (2011), 장전수학회

관련 논문AI추천

Revisit symmetric identities higher-order degenerate q-Bernoulli polynomials under the symmetry group of degree 3권혁인, 김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제4호IDENTITIES OF SYMMETRY FOR DEGENERATE q-EULER POLYNOMIALSD. V. Dolgy, J. J. Seo, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호Some symmetric identities for generalized higher-order q-Euler polynomials under which are derived from ordinary fermionic integral on임석훈, D. V. Dolgy, S. H. LEE, T. KIM장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제4호SYMMETRIC IDENTITIES OF HIGHER-ORDER CARLITZ'S q-BERNOULLI POLYNOMIALS UNDER SYMMETRIC GROUP OF DEGREE FOURT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제2호SYMMETRIC IDENTITIES OF DEGENERATE q-BERNOULLI POLYNOMIALS UNDER SYMMETRY GROUP S3권혁인, 김태균, 서종진, Dmitry V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제1호IDENTITIES OF SYMMETRY FOR DEGENERATE q-BERNOULLI POLYNOMIALSH-I Kwon, J. J. Seo, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호

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