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


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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