Degenerate Bernstein Polynomials
Number Theory
2018-06-19 v1
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.
Cite
@article{arxiv.1806.06379,
title = {Degenerate Bernstein Polynomials},
author = {Taekyun Kim and Dae san Kim},
journal= {arXiv preprint arXiv:1806.06379},
year = {2018}
}
Comments
9