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A family of generalized Jacobi polynomials

Mathematics of Computation, 1989
The family of orthogonal polynomials corresponding to a generalized Jacobi weight function was considered by Wheeler and Gautschi who derived recurrence relations, both for the related Chebyshev moments and for the associated orthogonal polynomials. We obtain an explicit representation of these polynomials, from which the recurrence relation can be ...
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Linearization of the Product of Jacobi Polynomials. II

Canadian Journal of Mathematics, 1970
Let [3, p. 170, (16)](1.1)denote the Jacobi polynomial of order (α, β), α, β > – 1, and let g(k, m, n; α, β) be denned by(1.2)where Rn(α, β)(x) = Pn(α, β)(x)/Pn(α, β)(1). It is well known [1; 2; 4; 5; 6] that the harmonic analysis of Jacobi polynomials depends, at crucial points, on the answers to the following two questions.Question 1. For which (α,
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Accurate Computations with Collocation and Wronskian Matrices of Jacobi Polynomials

Journal of Scientific Computing, 2021
E Mainar, J M Pena, B Rubio
exaly

Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials

Journal of Scientific Computing, 2006
Ben-Yu Guo, Jie Shen, Li-Lian Wang
exaly

On Asymptotics of Jacobi Polynomials

SIAM Journal on Mathematical Analysis, 1991
Mourad E H Ismail
exaly

Explicit Formula Relating the Jacobi, Hahn and Bernstein Polynomials

SIAM Journal on Mathematical Analysis, 1987
Z Ciesielski
exaly

Connections between two-variable Bernstein and Jacobi polynomials on the triangle

Journal of Computational and Applied Mathematics, 2006
Stanisław Lewanowicz, Paweł Wozny
exaly

Results on the associated Jacobi and Gegenbauer polynomials

Journal of Computational and Applied Mathematics, 1993
Stanisław Lewanowicz
exaly