Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions

DOI10.1186/1687-1812-2013-80zbMath1297.44002arXiv1111.4880OpenAlexW3099712252WikidataQ59293493 ScholiaQ59293493MaRDI QIDQ2249141

Yilmaz Simsek

Publication date: 8 July 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4880

zbMATH Keywords

generating functionsintegral transformsBernstein polynomialsdifferential equationsfunctional equations

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Laplace transform (44A10) Real polynomials: location of zeros (26C10) Real polynomials: analytic properties, etc. (26C05) Analytic continuation of functions of one complex variable (30B40)

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Cites Work

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