A formula for Jack polynomials of the second order
Francisco J. Caro-Lopera ; José A. Díaz-García ; Graciela González-Farías
Applicationes Mathematicae, Tome 34 (2007), p. 113-119 / Harvested from The Polish Digital Mathematics Library
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This work solves the partial differential equation for Jack polynomials Cκα of the second order. When the parameter α 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.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:279259 
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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) pp. 113-119. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-1-9/