A Note on Some Identities of New Type Degenerate Bell Polynomials

Taekyun Kim, Dae San Kim, Hyunseok Lee and Jongkyum Kwon
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Taekyun Kim: School of Science, Xi’an Technological University, Xi’an 710021, China
Dae San Kim: Department of Mathematics, Sogang University, Seoul 04107, Korea
Hyunseok Lee: Department of Mathematics, Kwangwoon University, Seoul 01897, Korea
Jongkyum Kwon: Department of Mathematics Education and ERI, Gyeongsang National University, Gyeongsangnamdo 52828, Korea

Mathematics, 2019, vol. 7, issue 11, 1-12

Abstract: Recently, the partially degenerate Bell polynomials and numbers, which are a degenerate version of Bell polynomials and numbers, were introduced. In this paper, we consider the new type degenerate Bell polynomials and numbers, and obtain several expressions and identities on those polynomials and numbers. In more detail, we obtain an expression involving the Stirling numbers of the second kind and the generalized falling factorial sequences, Dobinski type formulas, an expression connected with the Stirling numbers of the first and second kinds, and an expression involving the Stirling polynomials of the second kind.

Keywords: Bell polynomials; partially degenerate Bell polynomials; new type degenerate Bell polynomials (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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