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

Kyung-Won Hwang, Cheon Seoung Ryoo and Nam Soon Jung
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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

Mathematics, 2019, vol. 7, issue 8, 1-11

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.

Keywords: differential equations; Bell polynomials; r -Bell polynomials; ( r , ? )-Bell polynomials; zeros (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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