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A formula for complex zonal polynomials of second order

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Caro Lopera, Francisco J.
González Farías, Graciela
Díaz García, José A.

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Abstract

A formula for complex zonal polynomials of second order is derived by solving aparticular partial differential equation.Keywords: Laplace-Beltrami operator, zonal polynomials, Hermitian matrix, Legendre’sdifferential equation.
En el presente trabajo se encuentra una f´ormula para polinomios zonales complejosde segundo orden, a partir de una ecuaci´on diferencial parcial.Palabras clave: Operador de Laplace-Beltrami, polinomios zonales, matriz hermitiana,ecuaci´on diferencial de Legendre.

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