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The relativistic Hermite polynomial is a Gegenbauer polynomial
Journal of Mathematical Physics, 1994It 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, 2007zbMATH 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, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Polynomials Associated With Gegenbauer Polynomials
The Fibonacci Quarterly, 1981A. F. Horadam, S. Pethe
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Why High-Order Polynomials Should Not Be Used in Regression Discontinuity Designs
Journal of Business and Economic Statistics, 2019Andrew Gelman, Guido Imbens
exaly
Global Optimization with Polynomials and the Problem of Moments
SIAM Journal on Optimization, 2001Jean Bernard Lasserre
exaly

