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Numerical Algorithms, 2012
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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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Matrix Valued Orthogonal Polynomials of the Jacobi Type

Indagationes Mathematicae, 2003
J Tirao, I Pacharoni
exaly

Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials

Journal of Scientific Computing, 2006
Jie Shen +2 more
exaly

On Asymptotics of Jacobi Polynomials

SIAM Journal on Mathematical Analysis, 1991
Mourad Ismail
exaly

Approximate Solution of Fractional Vibration Equation Using Jacobi Polynomials

Applied Mathematics and Computation, 2018
Harendra Singh
exaly

The Generating Function of Jacobi Polynomials

Journal of the London Mathematical Society, 1938
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Jacobi Matrix Differential Equation, Polynomial Solutions, and Their Properties

Computers and Mathematics With Applications, 2004
Lucas Jódar, E Defez
exaly