Results 151 to 160 of about 886 (183)

Cari��ena polynomials are Jacobi polynomials

2009
first ...
Vignat, C., Lamberti, P. W.
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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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Accurate Computations with Collocation and Wronskian Matrices of Jacobi Polynomials

Journal of Scientific Computing, 2021
Esmeralda Mainar, Beatriz Rubio-Serrano
exaly  

Positive Jacobi Polynomial Sums, II

American Journal of Mathematics, 1976
Askey, Richard, Gasper, George
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Refined multilayered beam, plate and shell elements based on Jacobi polynomials

Composite Structures, 2023
Riccardo Augello, Afonso Pagani
exaly  

EXTENDED JACOBI MATRIX POLYNOMIALS

2013
In this paper, extended Jacobi matrix polynomials (EJMPs) are introduced. The matrix differential equation satisfied by them is given. A Rodrigues formula, orthogonality, linear generating matrix functions and recurrence relations are presented for these matrix polynomials. Furthermore, general families of multilinear and multilateral generating matrix
Cevik, Ali, ÇEKİM, BAYRAM, AKTAŞ, RABİA   +2 more
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Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials

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