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Revista Colombiana de Matemáticas
versão impressa ISSN 0034-7426
Rev.colomb.mat. vol.53 no.1 Bogotá jan./jun. 2019
Original articles
The Gauss decomposition of products of spherical harmonics
Descomposición de Gauss del producto de armónicas esféricas
1 Louisiana State University, Baton Rouge, USA. Department of Mathematics, Louisiana State University Baton Rouge, LA 70803 USA e-mail: restrada@math.lsu.edu
The product of two homogeneous harmonio polynomials is ho-mogeneous, but not harmonic, in general. We give formulas for the Gauss decomposition of the product of two homogeneous harmonic polynomials.
Key words and phrases: Harmonic polynomials; Gauss decomposition; products of spherical harmonics
El producto de dos polinomios armónicos y homogéneos es homogéneo pero no armónico, en general. Damos fórmulas para la descomposición de Gauss del producto de dos polinomios armónicos y homogéneos
Palabras y frases clave: Polinomios armónicos; descomposición de Gauss; producto de armónicas esféricas
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Received: June 2018; Accepted: November 2018
This is an open-access article distributed under the terms of the Creative Commons Attribution License
