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http://dx.doi.org/10.5666/KMJ.2013.53.4.553

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)
Publication Information
Kyungpook Mathematical Journal / v.53, no.4, 2013 , pp. 553-563 More about this Journal
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.
Keywords
Euler polynomials; differential equation;
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