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arXiv · 2110.03178

Representations by ordered Bell and degenerate ordered Bell polynomials

Dae san Kim·Taekyun Kim
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Abstract

In this paper, we consider the problem of representing any polynomial in terms of the ordered Bell and degenerate ordered Bell polynomials, and more generally of the higher-order ordered Bell and higher-order degenerate ordered Bell polynomials. We derive explicit formulas with the help of umbral calculus and illustrate our results with some examples.

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Dae san Kim, Taekyun Kim. 2021-10-07. Representations by ordered Bell and degenerate ordered Bell polynomials. https://arxiv.org/abs/2110.03178

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