Linearization and connection formulae involving squares of gegenbauer polynomials
✍ Scribed by J. Sánchez-Ruiz
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 309 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
Several linearization-like and connection-like formulae relating the classical Gegenbauer polynomials and their squares are obtained using a theorem of the theory of generalized hypergeometric functions. (~) 2001 Elsevier Science Ltd. All rights reserved.
📜 SIMILAR VOLUMES
The linear combination of iterates \(1-\left(1-P_{n}\right)^{M}\) of Bernstein and Durrmeyer operators of a fixed degree \(n\) is considered for increasing order of iteration \(M\). The resulting sequence of polynomials is shown to converge to the Lagrange interpolating polynomial for the Bernstein
Given an infeasible system of linear inequalities, Ax b, we address the problem of correcting both the matrix of coefficients A by A + H and vector b by b + p to minimize the Frobenius norm of [H, p]. For a system of linear equations this problem can be solved by an algebraic and well-studied method