Relations arising from a family of combinatorial numbers and bernstein type basis functions
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Date
2018
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Publisher
AMER INST PHYSICS
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
The aim of this paper is to give some combinatorial sums, identities and relations related to a family of combinatorial numbers and the Bernstein type basis functions. With the help of generating functions for the combinatorial numbers from this aforementioned family, we give some functional equations. By using these functional equations, we obtain several relationships including these combinatorial numbers and the Bernstein type basis functions. Moreover, we provide not only some identities, but also applications including combinatorial sums, integrals, the combinatorial numbers, the extended Bersntein basis functions, and the beta function.
Description
International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 25-30, 2017 -- Thessaloniki, GREECE
Keywords
Bernstein basis functions, generating functions, functional equations, special numbers, special functions, combinatorial identity, combinatorial sum, binomial coefficients, gamma function, beta function
Journal or Series
International Conference Of Numerical Analysis And Applied Mathematics (Icnaam 2017)
WoS Q Value
N/A
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N/A
Volume
1978
