FILOMAT, vol.30, no.7, pp.1683-1689, 2016 (SCI-Expanded)
Article / Article
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Bernstein polynomials, Generating function, Beta type polynomials, Gamma function, Beta function, Binomial coefficients, Combinatorial sums, Catalan numbers, POLYNOMIALS
Akdeniz University Affiliated:
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.