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Revisit symmetric identities higher-order degenerate q-Bernoulli polynomials under the symmetry group of degree 3

김태균|서종진|권혁인
장전수학회 (Jangjeon Mathematical Society)|2016.10|Advanced Studies in Contemporary Mathematics|제26권 제4호|pp. 685-691

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참고문헌

키워드

symmetric identitiesdegenerate q-Bernoulli polynomialsp-adic q-integral
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초록

Recently, the higher-order degenerate q-Bernoulli polynomials are introduced in [8]. In this paper, we study the symmetric identities for the higher-order degenerate q-Bernoulli polynomials under the symmetry group of degree 3 arising from the p-adic q-integral on Zp.

Abstract

Recently, the higher-order degenerate q-Bernoulli polynomials are introduced in [8]. In this paper, we study the symmetric identities for the higher-order degenerate q-Bernoulli polynomials under the symmetry group of degree 3 arising from the p-adic q-integral on Zp.

참고문헌 (9)

  1. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  2. L. Carlitz, "q-Bernoulli and Eulerian numbers", Trans. Amer. Math. Soc, 76, pp.332~350 (1954)
  3. L. Carlitz, "Expansions of q-Bernoulli numbers", Duke Math. J, 25, pp.355~364 (1958)
  4. Dmitry V. Dolgy, "SYMMETRIC IDENTITIES OF DEGENERATE q-BERNOULLI POLYNOMIALS UNDER SYMMETRY GROUP S3", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 19(1), pp.1~9 (2016), 장전수학회
  5. 김대산, "Abundant symmetry for higher-order Bernoulli polynomials (I)", Advanced Studies in Contemporary Mathematics, 23(3), pp.459~479 (2013), 장전수학회
  6. 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
  7. D. S. Kim, "A note on degenerate Bernoulli numbers and polynomials associated with p-adic invariant integral on Zp", Appl. Math. Comput, 259, pp.198~204 (2015)
  8. 김태균, "On degenerate $q$-Bernoulli polynomials", 대한수학회보, 53(4), pp.1149~1156 (2016), 대한수학회
  9. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 3, pp.288~299 (2002)

관련 논문AI추천

Identities of symmetry for the higher-order Carlitz's degenerate q-Euler polynomials under the symmetry group of degree 3권혁인, 김태균, DMITRY V. DOLGY장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제4호SYMMETRIC IDENTITIES OF HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS권혁인, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호SYMMETRIC 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 제4호SYMMETRIC IDENTITIES OF HIGHER-ORDER CARLITZ'S q-BERNOULLI POLYNOMIALS UNDER SYMMETRIC GROUP OF DEGREE FOURT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제2호A symmetric identity on the q-Genocchi polynomials of higher-order under third dihedral group D3E. Agyüz, M. Acikgoz, S. Araci장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제2호

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