Results 221 to 230 of about 535,269 (286)

A jacobi series expansion with nonnegative coefficients related to a special class of orthogonal polynomials in two variables

, 1976
I.G. Sprinkhuizen-Kuyper
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Beta Jacobi Ensembles and Associated Jacobi Polynomials [PDF]

Journal of Statistical Physics, 2020
Beta ensembles on the real line with three classical weights (Gaussian, Laguerre and Jacobi) are now realized as the eigenvalues of certain tridiagonal random matrices. The paper deals with beta Jacobi ensembles, the type with the Jacobi weight.
Hoang Dung Trinh, Khanh Duy Trinh
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Jacobi Polynomials on the Bernstein Ellipse [PDF]

Journal of Scientific Computing, 2017
In this paper, we are concerned with Jacobi polynomials $$P_n^{(\alpha ,\beta )}(x)$$Pn(α,β)(x) on the Bernstein ellipse with motivation mainly coming from recent studies of convergence rate of spectral interpolation. An explicit representation of $$P_n^{
Haiyong Wang, Lun Zhang
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Variants of Jacobi polynomials in coding theory

Designs, Codes and Cryptography, 2021
In this paper, we introduce the notion of the complete joint Jacobi polynomial of two linear codes of length n over Fq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy ...
H. Chakraborty, T. Miezaki
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On Romanovski–Jacobi polynomials and their related approximation results

Numerical Methods for Partial Differential Equations, 2020
The aim of this article is to present the essential properties of a finite class of orthogonal polynomials related to the probability density function of the F‐distribution over the positive real line. We introduce some basic properties of the Romanovski–
Howayda Abo-Gabal, M. A. Zaky, R. Hafez, E. H. Doha   +3 more
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Relativistic jacobi polynomials

Integral Transforms and Special Functions, 1999
A new polynomials set, of generalized hypergeometric type, is defined. These polynomials, called relativistic Jacobi polynomials (RJP) and denoted by represent an extension of the classical Jacobi orthogonal polynomials in the sense that they reduce to the latter in the non-relativistic limit (N → ∞). Some basic properties of these polynomials, as well
He, Matthew, Natalini, P.
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Vibration of Curvilinearly Stiffened Plates Using Ritz Method With Orthogonal Jacobi Polynomials

Journal of Vibration and Acoustics, 2018
This paper presents a general approach for the free vibration analysis of curvilinearly stiffened rectangular and quadrilateral plates using the Ritz method by employing classical orthogonal Jacobi polynomials. Both the plate and stiffeners are modeled
B. Alanbay, Karanpreet Singh, R. Kapania
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Jacobi polynomial expansions of Jacobi polynomials with non-negative coefficients

Mathematical Proceedings of the Cambridge Philosophical Society, 1971
The answers to many important questions in the harmonic analysis of orthogonal polynomials are known to depend on the determination of when formulas of the typesand their dualshold, where pn(x) and qn(x) are suitably normalized orthogonal polynomials or orthogonal polynomials multiplied by certain functions; e.g. e−pxLn(x).
Askey, R., Gasper, G.
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