Some Identities on Bernstein Polynomials Associated with<i>q</i>‐Euler Polynomials

Abdelmejid Bayad; T. Kim; Byungje Lee; Seog-Hoon Rim

doi:10.1155/2011/294715

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Some Identities on Bernstein Polynomials Associated withq‐Euler Polynomials

Abdelmejid Bayad T. Kim Byungje Lee Seog-Hoon Rim

Year: 2011 Journal: Abstract and Applied Analysis Vol: 2011 (1) Publisher: Hindawi Publishing Corporation

DOI: 10.1155/2011/294715

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Abstract

We investigate some interesting properties of the q ‐Euler polynomials. The purpose of this paper is to give some relationships between Bernstein and q ‐Euler polynomials, which are derived by the p ‐adic integral representation of the Bernstein polynomials associated with q ‐Euler polynomials.

Keywords:

Mathematics Euler's formula Wilson polynomials Difference polynomials Bernstein polynomial Discrete orthogonal polynomials Classical orthogonal polynomials Representation (politics) Orthogonal polynomials Hahn polynomials Gegenbauer polynomials Pure mathematics Macdonald polynomials Algebra over a field Mathematical analysis

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Advanced Mathematical Identities

Physical Sciences → Mathematics → Algebra and Number Theory

advanced mathematical theories

Physical Sciences → Mathematics → Mathematical Physics

Mathematical functions and polynomials

Physical Sciences → Mathematics → Applied Mathematics

Some Identities on Bernstein Polynomials Associated withq‐Euler Polynomials

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