Degenerate Daehee Numbers of the Third Kind

Sung-Soo Pyo, Taekyun Kim and Seog-Hoon Rim
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Sung-Soo Pyo: Department of Mathematics Education, Silla University, Busan 13557, Korea
Taekyun Kim: Department of Mathematics, Kwangwoon University, Seoul 01897, Korea
Seog-Hoon Rim: Department of Mathematics Education, Kyungpook National University, Taegu 41566, Korea

Mathematics, 2018, vol. 6, issue 11, 1-10

Abstract: In this paper, we define new Daehee numbers, the degenerate Daehee numbers of the third kind, using the degenerate log function as generating function. We obtain some identities for the degenerate Daehee numbers of the third kind associated with the Daehee, degenerate Daehee, and degenerate Daehee numbers of the second kind. In addition, we derive a differential equation associated with the degenerate log function. We deduce some identities from the differential equation.

Keywords: degenerate log function; degenerate Daehee numbers of the third kind; nonlinear differential equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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