Advances in Difference Equations (Jul 2017)

Some identities of degenerate Daehee numbers arising from nonlinear differential equation

  • Gwan-Woo Jang,
  • Jongkyum Kwon,
  • Jeong Gon Lee

DOI
https://doi.org/10.1186/s13662-017-1265-4
Journal volume & issue
Vol. 2017, no. 1
pp. 1 – 10

Abstract

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Abstract Recently, Kim and Kim introduced some identities of degenerate Daehee numbers which are derived from nonlinear differential equations (see (Kim and Kim in J. Nonlinear Sci. Appl. 10:744-751, 2017)). From the viewpoint of inversion formula, we study the degenerate Daehee number arising from a nonlinear differential equation. In this paper, we obtain the explicit expression of degenerate Daehee numbers from the inversion formula of (Kim and Kim in J. Nonlinear Sci. Appl. 10:744-751, 2017) using the generating function and nonlinear differential equations.

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