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Differential Equations Arising from the Generating Function of the ( r , β )-Bell Polynomials and Distribution of Zeros of Equations

Author

Listed:
  • Kyung-Won Hwang

    (Department of Mathematics, Dong-A University, Busan 604-714, Korea)

  • Cheon Seoung Ryoo

    (Department of Mathematics, Hannam University, Daejeon 34430, Korea)

  • Nam Soon Jung

    (College of Talmage Liberal Arts, Hannam University, Daejeon 34430, Korea)

Abstract

In this paper, we study differential equations arising from the generating function of the ( r , β ) -Bell polynomials. We give explicit identities for the ( r , β ) -Bell polynomials. Finally, we find the zeros of the ( r , β ) -Bell equations with numerical experiments.

Suggested Citation

  • Kyung-Won Hwang & Cheon Seoung Ryoo & Nam Soon Jung, 2019. "Differential Equations Arising from the Generating Function of the ( r , β )-Bell Polynomials and Distribution of Zeros of Equations," Mathematics, MDPI, vol. 7(8), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:736-:d:256902
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    References listed on IDEAS

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    1. Roberto B. Corcino & Cristina B. Corcino, 2011. "On Generalized Bell Polynomials," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-21, October.
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