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IDENTITIES OF SYMMETRY FOR DEGENERATE q-BERNOULLI POLYNOMIALS

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초록

In this paper, we give symmetric identities for the degenerate Carlitz q-Bernoulli polynomials which are derived from p-adic q-integral on Zp.

Abstract

In this paper, we give symmetric identities for the degenerate Carlitz q-Bernoulli polynomials which are derived from 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. Math. Soc., 76, pp.332~350 (1954)
  3. D. V. Dolgy, "Symmetry identities for the generalized higher-order q-Bernoulli polynomials under arising from -adic Volkenborn ingegral on Z_p", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(4), pp.645~650 (2014), 장전수학회
  4. D. S. Kim, "Some identities of degenerate special polynomials", Open Math., 13, pp.380~389 (2015)
  5. D. S. Kim, "Some identities of degenerate Euler polynomials arising from p-adic fermionic integral on Zp", Integral Trans. Spec. Funct., 26(4), pp.295~302 (2015)
  6. D. S. Kim, "Symmetry identities of q-Bernoulli polynomials of the second kind", Indian J. Pure Appl. Math., 46(1), pp.85~90 (2015)
  7. 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
  8. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
  9. 김태균, "On degenerate $q$-Bernoulli polynomials", 대한수학회보, 53(4), pp.1149~1156 (2016), 대한수학회

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