Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials

Abdelmejid Bayad; T. Kim

doi:10.1134/s1061920811020014

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Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials

Abdelmejid Bayad T. Kim

Year: 2011 Journal: Russian Journal of Mathematical Physics Vol: 18 (2)Pages: 133-143 Publisher: Pleiades Publishing

DOI: 10.1134/s1061920811020014

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Abstract

In this paper we give some relation involving values of q-Bernoulli, q-Euler\nand Bernstein polynomials. From these relations, we obtain some interesting\nidentities on the q-Bernoulli, q-Euler and Bernstein polynomials.\n

Keywords:

Bernstein polynomial Mathematics Bernoulli's principle Euler's formula Bernoulli polynomials Pure mathematics Wilson polynomials Relation (database) Orthogonal polynomials Difference polynomials Mathematical analysis Physics Computer science

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Advanced Mathematical Identities

Physical Sciences → Mathematics → Algebra and Number Theory

Mathematical functions and polynomials

Physical Sciences → Mathematics → Applied Mathematics

Advanced Combinatorial Mathematics

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials

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