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On Hermite matrix polynomials and Hermite matrix functions [PDF]
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
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An Identity in Hermite Polynomials
Biometrika, 1971SUMMARY 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, 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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Why High-Order Polynomials Should Not Be Used in Regression Discontinuity Designs
Journal of Business and Economic Statistics, 2019Andrew Gelman, Guido Imbens
exaly

