An explicit formula for Bernoulli polynomials in terms of $r$-Stirling numbers of the second kind

Bai-Ni Guo; Feng Qi; Istv\'an Mez\H{o}

An explicit formula for Bernoulli polynomials in terms of $r$-Stirling numbers of the second kind

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arxiv 1402.2340 v1 pith:D2SJH57P submitted 2014-02-11 math.CO math.CAmath.NT

Bai-Ni Guo , István Mező , Feng Qi This is my paper · ORCID

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keywords bernoulliexplicitformulakindnumberspolynomialssecondstirling

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abstract

In the paper, the authors establish an explicit formula for computing Bernoulli polynomials at non-negative integer points in terms of $r$-Stirling numbers of the second kind.

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A Combinatorial Analysis Of Higher Order Generalised Geometric Polynomials: A Generalisation Of Barred Preferential Arrangements
math.CO 2019-08 conditional novelty 4.0 of 10

The higher-order generalized geometric polynomials count barred preferential arrangements with one special section and λ ordinary sections, with an explicit Stirling-number formula and an asymptotic estimate.

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