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A new approach to Bell and poly-Bell numbers and polynomials

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arxiv 2106.14751 v1 pith:DTKW3JCN submitted 2021-06-28 math.NT

Dae San Kim , Dmitry V. Dolgy , Hye-Kyung Kim , Hyunseok Lee , Taekyun Kim This is my paper · ORCID
classification math.NT
keywords numberspolynomialskindsecondbelldegeneratepoly-bellthose
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The aim of this paper is to introduce Bell polynomials and numbers of the second kind and poly-Bell polynomials and numbers of the second kind, and to derive their explicit expressions, recurrence relations and some identities involving those polynomials and numbers. We also consider degenerate versions of those polynomials and numbers, namely degenerate Bell polynomials and numbers of the second kind and degenerate poly-Bell polynomials and numbers of the second kind, and deduce their similar results.

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