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

• Published in: Kyungpook mathematical journal Vol. 53; no. 4; pp. 553 - 563
• Main Authors: Rim, Seog-Hoon, Jeong, Joohee, Park, Jin-Woo
• Format: Journal Article
• Language: Korean
• Published: 2013
• Subjects: differential equation; Euler polynomials

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...