Some new formulas of complete and incomplete degenerate Bell polynomials

Author:

Kim Dae San,Kim Taekyun,Lee Si-Hyeon,Park Jin-Woo

Abstract

AbstractThe aim of this paper is to study the complete and incomplete degenerate Bell polynomials, which are degenerate versions of the complete and incomplete Bell polynomials, and to derive some properties and identities for those polynomials. In particular, we introduce some new polynomials associated with the incomplete degenerate Bell polynomials. In fact, they are the coefficients of the reciprocal of the power series given by 1 plus the one appearing as the exponent of the generating function of the complete degenerate Bell polynomials.

Funder

the Daegu University Research Grant, 2020

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference15 articles.

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5. Gun, D., Simsek, Y.: Combinatorial sums involving Stirling, Fubini, Bernoulli numbers and approximate values of Catalan numbers. Adv. Stud. Contemp. Math. (Kyungshang) 30(4), 503–513 (2020)

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