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arXiv · 1806.06379

Degenerate Bernstein Polynomials

Taekyun Kim·Dae san Kim
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Abstract

Here we consider the degenerate Bernstein polynomials as a degenerate version of Bernstein polynomials, which are motivated by Simsek's recent work 'Generating functions for unification of the multidimensional Bernstein polynomials and their applications'([15,16]) and Carlitz's degenerate Bernoulli polynomials. We derived thier generating function, symmetric identities, recurrence relations, and some connections with generalized falling factorial polynomials, higher-order degenerate Bernoulli polynomials and degenerate Stirling numbers of the second kind.

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Taekyun Kim, Dae san Kim. 2018-06-17. Degenerate Bernstein Polynomials. https://arxiv.org/abs/1806.06379

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