Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Some Identities Involving Euler Polynomials Arising from a Non-linear Differential Equation

  • Rim, Seog-Hoon (Department of Mathematics Education, Kyungpook National University) ;
  • Jeong, Joohee (Department of Mathematics Education, Kyungpook National University) ;
  • Park, Jin-Woo (Department of Mathematics Education, Kyungpook National University)
  • Received : 2012.11.15
  • Accepted : 2013.04.09
  • Published : 2013.12.23
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Abstract

We derive a family of non-linear differential equations from the generating functions of the Euler polynomials and study the solutions of these differential equations. Then we give some new and interesting identities and formulas for the Euler polynomials of higher order by using our non-linear differential equations.

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References

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