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arXiv · 2202.11306

Stirling numbers associated with sequences of polynomials

Dae san Kim·taekyun Kim
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Abstract

Let P be the set of the sequence of polynomials of degree n. The aim of this paper is to study the Stirling numbers of the second kind associated with P and of the first kind associated with P, in a unified and systematic way with the help of umbral calculus technique. Our results are illustrated with many examples which give rise to interesting inverse relations in each case.

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Dae san Kim, taekyun Kim. 2022-02-23. Stirling numbers associated with sequences of polynomials. https://arxiv.org/abs/2202.11306

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