Results 241 to 250 of about 538,632 (288)

Some Inequalities Concerning Jacobi Polynomials

SIAM Journal on Mathematical Analysis, 1971
For polynomials $P(z) = c\prod _{k = 1}^n (z - a_k )$ with $a_1 ,a_2 , \cdots ,a_n $ real, we write $P| {(x + iy)} |^2 = \sum _{k = 0}^n L_k (P;x)y^{2k} $, where \[ L_k (P;x) = \sum_{j = 0}^{2k} {\frac{{( - 1)^{j + k} }}{{(2k)!}}} \left( {\begin{array}{*{20}c} {2k} \\ j \\ \end{array} } \right)P^{(j)} (x)P^{(2k - j)} (x).\] We show for $k = 1,2$ and 3 ...
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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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Generalized Jacobi orthogonal polynomials

Integral Transforms and Special Functions, 2007
In this paper, by evaluating a new Hankel determinant of order n, we give explicitly the recurrence coefficients of a symmetric semi-classical sequence of polynomials of class s ≤ 2. Then, by using the quadratic decomposition of such sequence, we give a nonsymmetric semi-classical sequence of polynomials of class generalizing the Jacobi polynomial ...
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Sub-range Jacobi polynomials

Numerical Algorithms, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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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
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Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials

, 1985
R. Askey, James A. Wilson
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New formulae between Jacobi polynomials and some fractional Jacobi functions generalizing some connection formulae

, 2019
W. Abd-Elhameed
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Numerical solution of fractional delay differential equation by shifted Jacobi polynomials

International Journal of Computational Mathematics, 2017
M. Palanisamy, B. Priya
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Approximate solution of fractional vibration equation using Jacobi polynomials

Applied Mathematics and Computation, 2018
Harendra Singh
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