Preprint Article Version 1 This version is not peer-reviewed

Unified Degenerate Central Bell Polynomials

Version 1 : Received: 19 August 2019 / Approved: 20 August 2019 / Online: 20 August 2019 (11:13:05 CEST)

How to cite: Acikgoz, M.; Duran, U. Unified Degenerate Central Bell Polynomials. Preprints 2019, 2019080213 (doi: 10.20944/preprints201908.0213.v1). Acikgoz, M.; Duran, U. Unified Degenerate Central Bell Polynomials. Preprints 2019, 2019080213 (doi: 10.20944/preprints201908.0213.v1).

Abstract

In this paper, we firstly consider extended degenerate central factorial numbers of the second kind and provide some properties of them. We then introduce unified degenerate central Bell polynomials and numbers and investigate many relations and formulas including summation formula, explicit formula and derivative property. Moreover, we derive several correlations for the fully degenerate central Bell polynomials associated with the degenerate Bernstein polynomials and the degenerate Bernoulli, Euler and Genocchi numbers.

Subject Areas

Central Bell polynomials; central factorial numbers; degenerate central Bell polynomials; Stirling numbers of the first kind; special numbers; special polynomials.

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