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On Hermite matrix polynomials and Hermite matrix functions [PDF]

open access: possibleApproximation Theory and its Applications, 1998
The authors extend to the matrix setting the well-known properties of the Hermite polynomials, such as density, asymptotics, the development of the exponential in terms of these polynomials and the connection with differential equations.
Emilio Defez, Lucas Jódar
openaire   +2 more sources

An Identity in Hermite Polynomials

Biometrika, 1971
SUMMARY An extension of the Runge (1914) identity in Hermite polynomials is derived, and a test of the assumption of bivariate normality is developed using the identity.
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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.
openaire   +2 more sources

Quantum Interference, Graphs, Walks, and Polynomials

Chemical Reviews, 2018
Yuta Tsuji   +2 more
exaly  

Why High-Order Polynomials Should Not Be Used in Regression Discontinuity Designs

Journal of Business and Economic Statistics, 2019
Andrew Gelman, Guido Imbens
exaly  

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