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arXiv · 2108.05049

Representing polynomials by degenerate Bernoulli 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 degenerate Bernoulli polynomials and more generally of the higher-order degenerate Bernoulli 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. 2021-08-11. Representing polynomials by degenerate Bernoulli polynomials. https://arxiv.org/abs/2108.05049

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