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Some identities of central Fubini polynomials arising from nonlinear differential equation

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Recently, several authors have studied central Fubini polynomials associated with central factorial numbers of the second kind. In this paper, we nd the nonlinear di erential equation arising from the generating function of central Fubini polynomials and we derive some new interesting identities and properties from this di erential equation.

Abstract

Recently, several authors have studied central Fubini polynomials associated with central factorial numbers of the second kind. In this paper, we nd the nonlinear di erential equation arising from the generating function of central Fubini polynomials and we derive some new interesting identities and properties from this di erential equation.

참고문헌 (7)

  1. P. L. Butzer, "Central factorial numbers: their main properties and some applications", Number. Funct. Anal. Optim, 10(5-6), pp.419~488 (1989)
  2. C. H. Chang, "Central factorial numbers and values of Bernoulli and Euler polynomials at rationals", Numer Funct Anal Optim, 30(3-4), pp.214~226 (2009)
  3. 장관우, "SUMS OF PRODUCTS OF TWO VARIABLE HIGHER-ORDER FUBINI FUNCTIONS ARISING FROM FOURIER SERIES", Advanced Studies in Contemporary Mathematics, 28(3), pp.533~550 (2018), 장전수학회[DOI]
  4. 장관우, "SOME IDENTITIES OF FUBINI POLYNOMIALS ARISING FROM DIFFERENTIAL EQUATIONS", Advanced Studies in Contemporary Mathematics, 28(1), pp.149~160 (2018), 장전수학회[DOI]
  5. 김택연, "On partially degenerate Bell numbers and polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.337~346 (2017), 장전수학회[DOI]
  6. T. Kim, "Some identities of Eulerian polynomials arising from nonlinear differential equations. Iran", J. Sci. Technol. Trans. A Sci, 42(3), pp.13571362~ (2018)
  7. T. Kim, "Some identities of Chebyshev polynomials arising from non-linear differential equations", J. Comput. Anal. Appl, 23(5), pp.820832~ (2017)

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