Results 231 to 240 of about 538,632 (288)

Jacobi Polynomials on the Bernstein Ellipse

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
semanticscholar   +2 more sources

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
semanticscholar   +1 more source

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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ECG Data Compression Using Jacobi Polynomials

2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2007
Data compression is a frequent signal processing operation applied to ECG. We present here a method of ECG data compression utilizing Jacobi polynomials. ECG signals are first divided into blocks that match with cardiac cycles before being decomposed in Jacobi polynomials bases.
Tchiotsop, Daniel, Wolf, Didier, Louis-Dorr, Valérie, Husson, René   +3 more
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Accurate Computations with Collocation and Wronskian Matrices of Jacobi Polynomials

Journal of Scientific Computing, 2021
E. Mainar, Juan Manuel Peña, B. Rubio
semanticscholar   +1 more source

On Jacobi polynomials

Mathematical Proceedings of the Cambridge Philosophical Society, 1969
1. The object of this paper is to prove some formulae of Jacobi polynomials including a generating function. The results (2·l)–(2·4), (2·6)–(2·9), (3·l)–(3·4), and (4·1) are believed to be new.
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Refined multilayered beam, plate and shell elements based on Jacobi polynomials

Composite structures, 2022
E. Carrera, R. Augello, A. Pagani, D. Scano   +3 more
semanticscholar   +1 more source

Asymptotics of generalized jacobi polynomials

Constructive Approximation, 1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Trajectories of Quadratic Differentials for Jacobi Polynomials with Complex Parameters

, 2015
Motivated by the study of the asymptotic behavior of Jacobi polynomials $$\left( P_{n}^{(nA,nB)}\right) _{n}$$Pn(nA,nB)n with $$A\in \mathbb {C}$$A∈C and $$B>0$$B>0, we establish the global structure of trajectories of the related rational quadratic ...
A. Martínez-Finkelshtein, P. Martínez-González, Faouzi Thabet   +2 more
semanticscholar   +1 more source

Cari��ena polynomials are Jacobi polynomials

2009
first ...
Vignat, C., Lamberti, P. W.
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