Identities of the degenerate Daehee numbers with the Bernoulli numbers of the second kind arising from nonlinear differential equation

Volume 10, Issue 12, pp 6219--6228 http://dx.doi.org/10.22436/jnsa.010.12.08

Publication Date: December 06, 2017 Submission Date: September 24, 2017

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Authors

Sung-Soo Pyo - Department of Mathematics Education, Silla University, Busan, Rep. of Korea. Taekyun Kim - Department of Mathematics, Kwangwoon University, Seoul, Rep. of Korea. Seog-Hoon Rim - Department of Mathematics Education, Kyungpook National University, Taegu, Rep. of Korea.

Abstract

In [T. Kim, D. S. Kim, H. I. Kwon, J. J. Seo, Glob. J. Pure Appl. Math., \({\bf 12}\) (2016), 1893--1901], Kim et al. presented some identities for the Bernoulli numbers of the second kind using differential equation. Here we use this differential equation in a different way. In this paper, we deduce some identities of the degenerate Daehee numbers with the Bernoulli numbers of the second kind of order \(r\).

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Keywords

• Degenerate Daehee numbers
• Bernoulli numbers of the second kind
• nonlinear differential equation

MSC

•  05A19
•  11B37
•  11B83
•  34A34

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