A formula for Jack polynomials
 of the second order

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

doi:10.4064/am34-1-9

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A formula for Jack polynomials of the second order

Francisco J. Caro-Lopera ¹ ; José A. Díaz-García ² ; Graciela González-Farías ³

¹ Department of Basic Mathematics Centro de Investigación en Matemáticas Callejón de Jalisco s//n Mineral de Valenciana 36240 Guanajuato, Guanajuato, México
² Department of Statistics and Computation Universidad Autónoma Agraria Antonio Narro 25315 Buenavista Saltillo, Coahuila, México
³ Department of Statistics Centro de Investigación en Matemáticas Callejón de Jalisco s//n Mineral de Valenciana 36240 Guanajuato, Guanajuato, México

Applicationes Mathematicae, Tome 34 (2007) no. 1, pp. 113-119.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Résumé

This work solves the partial differential equation for Jack polynomials $C_{\kappa }^{\alpha }$ of the second order. When the parameter $\alpha $ of the solution takes the values $1/2, 1$ and $2$ we get explicit formulas for the quaternionic, complex and real zonal polynomials of the second order, respectively.

DOI : 10.4064/am34-1-9

Keywords: work solves partial differential equation jack polynomials kappa alpha second order parameter alpha solution takes values get explicit formulas quaternionic complex real zonal polynomials second order respectively

Affiliations des auteurs :

Francisco J. Caro-Lopera ¹ ; José A. Díaz-García ² ; Graciela González-Farías ³

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 of the second order
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Francisco J. Caro-Lopera; José A. Díaz-García; Graciela González-Farías. A formula for Jack polynomials
 of the second order. Applicationes Mathematicae, Tome 34 (2007) no. 1, pp. 113-119. doi : 10.4064/am34-1-9. http://geodesic.mathdoc.fr/articles/10.4064/am34-1-9/

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