Results 161 to 170 of about 4,376 (199)

Uniform inequalities for Gegenbauer polynomials

Acta Mathematica Hungarica, 1996
The usual asymptotic representations of the Gegenbauer (ultraspherical) polynomials do not yield bounds on their absolute values which hold equally on the interval \(-1\leq x\leq 1\). But in the Legendre case (index \(\lambda= {1\over 2}\)) and more generally in the case of \(0\leq \lambda\leq 1\) such estimates exist.
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The relativistic Hermite polynomial is a Gegenbauer polynomial

Journal of Mathematical Physics, 1994
It is shown that the polynomials introduced recently by Aldaya, Bisquert, and Navarro-Salas [Phys. Lett. A 156, 381 (1991)] in connection with a relativistic generalization of the quantum harmonic oscillator can be expressed in terms of Gegenbauer polynomials. This fact is useful in the investigation of the properties of the corresponding wave function.
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Moment representation of Bernoulli polynomial, Euler polynomial and Gegenbauer polynomials

Statistics & Probability Letters, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Information entropy of Gegenbauer polynomials and Gaussian quadrature

Journal of Physics A: Mathematical and General, 2003
\textit{V. S. Buyarov}, \textit{P. López-Artés}, \textit{A. Martínez-Finkelshtein} and \textit{W. van Assche} [J. Phys. A, Math. Gen. 33, No. 37, 6549--6560 (2000; Zbl 1008.81015)] used two auxiliary polynomials to evaluate the information entropy of the Gegenbauer polynomials \(C^{(\lambda)}_n(x)\) in the case when one of the polynomials used was \(P ...
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On spectral identities involving Gegenbauer polynomials

The Journal of Analysis, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Polynomials Associated With Gegenbauer Polynomials

The Fibonacci Quarterly, 1981
A. F. Horadam, S. Pethe
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A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems

IEEE Transactions on Fuzzy Systems, 2021
Wen-Bo Xie, Hak-Keung Lam, Jian Zhang
exaly  

Optimal sparse polynomial chaos expansion for arbitrary probability distribution and its application on global sensitivity analysis

Computer Methods in Applied Mechanics and Engineering, 2022
Jie Liu
exaly  

Reliability analysis using adaptive Polynomial-Chaos Kriging and probability density evolution method

Reliability Engineering and System Safety, 2022
Yongbo Peng
exaly  

Simple Local Polynomial Density Estimators

Journal of the American Statistical Association, 2020
Matias D Cattaneo, Michael Jansson
exaly