Identities involving degenerate Euler numbers and polynomials arising from non-linear differential equations

Volume 9, Issue 5, pp 2086--2098 http://dx.doi.org/10.22436/jnsa.009.05.14

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Authors

Taekyun Kim - Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300387, China. - Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea. Dae San Kim - Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea.

Abstract

The purpose of this paper is to construct some new non-linear differential equations and investigate the solutions of these non-linear differential equations. In addition, we give some new identities involving degenerate Euler numbers and polynomials arising from those non-linear differential equations.

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Keywords

• Degenerate Euler numbers
• degenerate Euler polynomials
• non-linear differential equation
• degenerate Bernoulli numbers
• degenerate Bernoulli polynomials

MSC

•  05A19
•  11B83
•  34A34

References

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