The Gauss decomposition of products of spherical harmonics

Ricardo Estrada

doi:10.15446/recolma.v53n1.81037

Publicado

2019-01-01

The Gauss decomposition of products of spherical harmonics

Descomposición de Gauss del producto de armónicas esféricas

DOI:

https://doi.org/10.15446/recolma.v53n1.81037

Palabras clave:

Harmonic polynomials, Gauss decomposition, products of spherical harmonics (en)
Polinomios armónicos, descomposición de Gauss, producto de armónicas esféricas (es)

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Autores/as

Ricardo Estrada Louisiana State University - Department of Mathematics

Resumen (en)
Resumen (es)

The product of two homogeneous harmonic polynomials is homogeneous, but not harmonic, in general. We give formulas for the Gauss decomposition of the product of two homogeneous harmonic polynomials.

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.

Referencias

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Cómo citar

APA

Estrada, R. (2019). The Gauss decomposition of products of spherical harmonics. Revista Colombiana de Matemáticas, 53(1), 41–56. https://doi.org/10.15446/recolma.v53n1.81037

ACM

[1]

Estrada, R. 2019. The Gauss decomposition of products of spherical harmonics. Revista Colombiana de Matemáticas. 53, 1 (ene. 2019), 41–56. DOI:https://doi.org/10.15446/recolma.v53n1.81037.

ACS

(1)

Estrada, R. The Gauss decomposition of products of spherical harmonics. rev.colomb.mat 2019, 53, 41-56.

ABNT

ESTRADA, R. The Gauss decomposition of products of spherical harmonics. Revista Colombiana de Matemáticas, [S. l.], v. 53, n. 1, p. 41–56, 2019. DOI: 10.15446/recolma.v53n1.81037. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/81037. Acesso em: 7 sep. 2024.

Chicago

Estrada, Ricardo. 2019. «The Gauss decomposition of products of spherical harmonics». Revista Colombiana De Matemáticas 53 (1):41-56. https://doi.org/10.15446/recolma.v53n1.81037.

Harvard

Estrada, R. (2019) «The Gauss decomposition of products of spherical harmonics», Revista Colombiana de Matemáticas, 53(1), pp. 41–56. doi: 10.15446/recolma.v53n1.81037.

IEEE

[1]

R. Estrada, «The Gauss decomposition of products of spherical harmonics», rev.colomb.mat, vol. 53, n.º 1, pp. 41–56, ene. 2019.

MLA

Estrada, R. «The Gauss decomposition of products of spherical harmonics». Revista Colombiana de Matemáticas, vol. 53, n.º 1, enero de 2019, pp. 41-56, doi:10.15446/recolma.v53n1.81037.

Turabian

Estrada, Ricardo. «The Gauss decomposition of products of spherical harmonics». Revista Colombiana de Matemáticas 53, no. 1 (enero 1, 2019): 41–56. Accedido septiembre 7, 2024. https://revistas.unal.edu.co/index.php/recolma/article/view/81037.

Vancouver

1.

Estrada R. The Gauss decomposition of products of spherical harmonics. rev.colomb.mat [Internet]. 1 de enero de 2019 [citado 7 de septiembre de 2024];53(1):41-56. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/81037

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1. Keith Conrad, Ambar N. Sengupta. (2022). Rotational symmetries in polynomial rings. Journal of Algebra, 612, p.379. https://doi.org/10.1016/j.jalgebra.2022.08.031.