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Poly-central factorial sequences and poly-central-Bell polynomials
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DOI：10.1186/s13662-021-03663-8.png)
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Abstract
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In this paper, we introduce poly-central factorial sequences and poly-central Bell polynomials arising from the polyexponential functions, reducing them to central factorials and central Bell polynomials of the second kind respectively when k = 1. We also show some relations: between poly-central factorial sequences and power of x; between poly-central Bell polynomials and power of x; between poly-central Bell polynomials and the poly-Bell polynomials; between poly-central Bell polynomials and higher order type 2 Bernoulli polynomials of second kind; recurrence formula of poly-central Bell polynomials.
Keywords:
Central factorials
Central-Bell polynomials and numbers
Modified polyexponential functions
Stirling numbers of the first and second kind
Type 2 Bernoulli polynomials of the second kind
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4.7K
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