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Degenerate Daehee Numbers of the Third Kind

Author

Listed:
  • 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)

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.

Suggested Citation

  • Sung-Soo Pyo & Taekyun Kim & Seog-Hoon Rim, 2018. "Degenerate Daehee Numbers of the Third Kind," Mathematics, MDPI, vol. 6(11), pages 1-10, November.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:239-:d:181036
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    References listed on IDEAS

    as
    1. He, Yuan & Kim, Taekyun, 2018. "A higher-order convolution for Bernoulli polynomials of the second kind," Applied Mathematics and Computation, Elsevier, vol. 324(C), pages 51-58.
    2. Marin Marin, 2008. "Weak Solutions in Elasticity of Dipolar Porous Materials," Mathematical Problems in Engineering, Hindawi, vol. 2008, pages 1-8, September.
    Full references (including those not matched with items on IDEAS)

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