Results 11 to 20 of about 1,811 (151)
Jaynes-Gibbs Entropic Convex Duals and Orthogonal Polynomials [PDF]
Entropy, 2022 The univariate noncentral distributions can be derived by multiplying their central distributions with translation factors. When constructed in terms of translated uniform distributions on unit radius hyperspheres, these translation factors become ...
Richard Le Blanc
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Uniform pointwise estimates for ultraspherical polynomials [PDF]
Comptes Rendus. Mathématique, 2022 We prove pointwise bounds for two-parameter families of Jacobi polynomials. Our bounds imply estimates for a class of functions arising from the spectral analysis of distinguished Laplacians and sub-Laplacians on the unit sphere in arbitrary dimension ...
Casarino, Valentina +2 more
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A model for the continuous q-ultraspherical polynomials [PDF]
Journal of Mathematical Physics, 1995 We provide an algebraic interpretation for two classes of continuous $q$-polynomials. Rogers' continuous $q$-Hermite polynomials and continuous $q$-ultraspherical polynomials are shown to realize, respectively, bases for representation spaces of the $q ...
Askey R. A. +4 more
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Determinant inequalities for sieved ultraspherical polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 Paul Turan first observed that the Legendre polynomials satisfy the inequality Pn2(x)−Pn−1(x)Pn(x)>0 ...
J. Bustoz, I. S. Pyung
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Representations of the Quantum Algebra su_q(1,1) and Discrete q-Ultraspherical Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2005 We derive orthogonality relations for discrete q-ultraspherical polynomials and their duals by means of operators of representations of the quantum algebra su_q(1,1). Spectra and eigenfunctions of these operators are found explicitly.
Valentyna Groza
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Fractal and Fractional, 2021 Herein, we developed and analyzed a new fractal–fractional (FF) operational matrix for orthonormal normalized ultraspherical polynomials. We used this matrix to handle the FF Riccati differential equation with the new generalized Caputo FF derivative ...
Youssri Hassan Youssri
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A connection between ultraspherical and pseudo-ultraspherical polynomials
Journal of Mathematical Analysis and Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Driver, Kathy, Muldoon, Martin E.
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All-Pole Recursive Digital Filters Design Based on Ultraspherical Polynomials [PDF]
Radioengineering, 2014 A simple method for approximation of all-pole recursive digital filters, directly in digital domain, is described. Transfer function of these filters, referred to as Ultraspherical filters, is controlled by order of the Ultraspherical polynomial, nu ...
N. Stojanovic +2 more
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An identity for ultraspherical polynomials
Journal of Numerical Analysis and Approximation Theory, 1995 Not available.
Luciana Lupaş
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Zeros of quasi-orthogonal ultraspherical polynomials
Indagationes Mathematicae, 2016 It is known that the zeros of orthogonal polynomials of successive degrees interlace on the interval of orthogonality. This paper investigates ultraspherical polynomials \(C_n^{(\lambda)}\) orthogonal with respect to the weight function \((1-x^2)^{\lambda-1/2}\) on the interval \([-1,1]\).
Driver, Kathy, Muldoon, Martin E.
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