Revisit of identities for Apostol-Euler and Frobenius-Euler numbers arising from differential equation

Volume 10, Issue 1, pp 186--191 http://dx.doi.org/10.22436/jnsa.010.01.18

Publication Date: January 27, 2017 Submission Date: October 13, 2016

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Authors

Taekyun Kim - Department of Mathematics, College of Science Tianjin Polytechnic University, Tianjin 300160, China. - Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea. Gwan-Woo Jang - Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea. Jong Jin Seo - Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea. - Department of Mathematics, Pukyung National University, Busan 608-737, Republic of Korea.

Abstract

In this paper, we study differential equation arising from the generating function of Apostol-Euler and Frobenius-Euler numbers. In addition, we revisit some identities of Apostol-Euler and Frobenius-Euler numbers which are derived from differential equations.

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ISRP Style

Taekyun Kim, Gwan-Woo Jang, Jong Jin Seo, Revisit of identities for Apostol-Euler and Frobenius-Euler numbers arising from differential equation, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 1, 186--191

AMA Style

Kim Taekyun, Jang Gwan-Woo, Seo Jong Jin, Revisit of identities for Apostol-Euler and Frobenius-Euler numbers arising from differential equation. J. Nonlinear Sci. Appl. (2017); 10(1):186--191

Chicago/Turabian Style

Kim, Taekyun, Jang, Gwan-Woo, Seo, Jong Jin. "Revisit of identities for Apostol-Euler and Frobenius-Euler numbers arising from differential equation." Journal of Nonlinear Sciences and Applications, 10, no. 1 (2017): 186--191

Keywords

Nonlinear differential equations
Apostol-Euler numbers
Frobenius-Euler numbers.

MSC

11B68
11S80

References

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