Some Identities Involving Euler Polynomials Arising from a Non-linear Differential Equation

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 diff...

Full description

Saved in:
Bibliographic Details
Published inKyungpook mathematical journal Vol. 53; no. 4; pp. 553 - 563
Main Authors Rim, Seog-Hoon, Jeong, Joohee, Park, Jin-Woo
Format Journal Article
LanguageKorean
Published 2013
Subjects
differential equation
Euler polynomials
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:KISTI1.1003/JNL.JAKO201306943245296
ISSN:1225-6951
0454-8124