# 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

Publication Date: 2017-12-06

http://dx.doi.org/10.22436/jnsa.010.12.08

### 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 $r$.

### Keywords

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