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Revisit nonlinear differential equations arising from the generating functions of degenerate Bernoulli numbers

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The nonlinear differential equations arising from the generating functions of degenerate Bernoulli numbers are studied by Kim and Kim. In this paper, we revisit nonlinear differential equations related to degenerate Bernoulli numbers for doing investigate some properties of degenerate Bernoulli numbers.

Abstract

The nonlinear differential equations arising from the generating functions of degenerate Bernoulli numbers are studied by Kim and Kim. In this paper, we revisit nonlinear differential equations related to degenerate Bernoulli numbers for doing investigate some properties of degenerate Bernoulli numbers.

참고문헌 (5)

  1. A. Bayad, "Higher recurrences for Apostol-Bernoulli-Euler numbers", Russ. J. Math. Phys, 1, pp.1~10 (2012)
  2. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~58 (1979)
  3. T. Kim, "A note on nonlinear Changhee differential equations", Russ. J. Math. Phys, 23(1), pp.1~5 (2016)
  4. T. Kim, "Identities involving degenerate Euler numbers and polynomials", J. Nonlinear Sci. Appl, 26, pp.203~209 (2016)
  5. 권혁인, "Modified degenerate Euler polynomials", Advanced Studies in Contemporary Mathematics, 26(1), pp.203~209 (2016), 장전수학회

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