Results 241 to 250 of about 535,269 (286)

A REMARK ON JACOBI POLYNOMIAL ESTIMATES

International Journal of Wavelets, Multiresolution and Information Processing, 2009
In this paper, an estimate of Jacobi polynomials with complex indices is proved. It improves a corresponding result of Ref. 2.
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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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On Asymptotics of Jacobi Polynomials

SIAM Journal on Mathematical Analysis, 1991
The asymptotic behavior of Jacobi polynomials $P_n^{\alpha + an,\beta + bn} (x)$ and Laguerre polynomials $L_n^{\alpha + an} (b + nx)$ is found when $n \to \infty $ and a, b, $\alpha $, $beta$ are real constants, $a > - 1$, $b > - 1$, and x is a real variable.
Li-Chen Chen, Mourad E. H. Ismail
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Connection Formulae Between Generalized Lucas Polynomials and Some Jacobi Polynomials: Application to Certain Types of Fourth-Order BVPs

, 2020
W. Abd-Elhameed, Youssri Hassan Youssri
semanticscholar   +1 more source

Relativistic orthogonal polynomials are Jacobi polynomials

Journal of Physics A: Mathematical and General, 1996
Summary: We identify the recently studied relativistic orthogonal polynomials in terms of Jacobi polynomials, so all their properties follow from the corresponding properties of Jacobi polynomials through a change of variable.
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A Numerical Approach for Multi-variable Orders Differential Equations Using Jacobi Polynomials

International Journal of Applied and Computational Mathematics, 2019
R. Ganji, H. Jafari, H. Jafari
semanticscholar   +1 more source

A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials

, 2016
M. Dehghan, Ehsan-Allah Hamedi, Hassan Khosravian-Arab   +2 more
semanticscholar   +1 more source

Approximate solution of fractional vibration equation using Jacobi polynomials

Applied Mathematics and Computation, 2018
Harendra Singh
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Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials

, 1985
R. Askey, James A. Wilson
semanticscholar   +1 more source

New formulae between Jacobi polynomials and some fractional Jacobi functions generalizing some connection formulae

, 2019
W. Abd-Elhameed
semanticscholar   +1 more source