Combinatorial identities associated with Bernstein type basis functions | Zendy

Yılmaz Şimşek | Zendy

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Combinatorial identities associated with Bernstein type basis functions

Author(s) -

Yılmaz Şimşek

Publication year - 2016

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1607683s

Subject(s) - mathematics , binomial coefficient , type (biology) , catalan number , basis (linear algebra) , identity (music) , binomial (polynomial) , bernstein polynomial , pure mathematics , recurrence relation , combinatorics , algebra over a field , discrete mathematics , statistics , ecology , physics , geometry , acoustics , biology

In this paper, we give some identities and relations for the Bernstein basis functions and the beta type polynomials. Integrating these identities, we derive many identities and formulas, some old and some new, for combinatorial sums involving binomial coefficients and the Catalan numbers. We also give remarks and comments on these identities.

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