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SYMMETRIC IDENTITIES OF DEGENERATE BERNOULLI POLYNOMIALS

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초록

We investigate some identities and properties of symmetry for degenerate Brenoulli polynomials which are derived from the p-adic invari- ant integral on Zp.

Abstract

We investigate some identities and properties of symmetry for degenerate Brenoulli polynomials which are derived from the p-adic invari- ant integral on Zp.

참고문헌 (10)

  1. Bayad, "IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 20(2), pp.247~253 (2010), 장전수학회
  2. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math., 15, pp.51~88 (1979)
  3. D. S. Kim, "Some identities of degenerate special polynomials", Open Math, 13, pp.37~ (2015)
  4. 김대산, "Abundant symmetry for higher-order Bernoulli polynomials (I)", Advanced Studies in Contemporary Mathematics, 23(3), pp.459~479 (2013), 장전수학회
  5. D. S. Kim, "A note on degnerate Bernoulli numbers and polynomials associated with p-adic invariant integral on Zp", Appl. Math. Comput, 259, pp.198~204 (2015)
  6. T. Kim, "Barnes' type multiple dgenerate Bernoulli and Euler polynomials", Appl. Math. Comput, 258, pp.556~564 (2015)
  7. T. Kim, "Degenerate Bernoulli polynomials associated with -adic invariant integral on", Advanced Studies in Contemporary Mathematics, 25(3), pp.273~279 (2015), 장전수학회
  8. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
  9. D. Kim, "A note on poly-Bernoulli and higher-order poly-Bernoulli polynomials", Russ. J. Math. Phys., 22(1), pp.26~33 (2015)
  10. 김영희, "Symmetry of power sum and twisted Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 18(2), pp.127~133 (2009), 장전수학회

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