2018•Preprints.orgOpen access

Degenerate Daehee Numbers of the Third Kind

Sung-Soo Pyo, Tae‐Kyun Kim, Seog-Hoon Rim

Abstract

In this paper, we define new kind of Daehee numbers, the degenerate Daehee numbers of the third kind, using 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.

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Key concepts: Degenerate energy levels, Function (biology), Mathematics, Differential equation, Differential (mechanical device), Pure mathematics, Mathematical analysis, Physics