Unified Degenerate Central Bell Polynomials

Mehmet Acikgoz; Ugur Duran

doi:10.20944/preprints201908.0213.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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.

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

Computer Science and Mathematics, Algebra and Number Theory

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Unified Degenerate Central Bell Polynomials

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