A formula for Jack polynomials of the second order

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

Applicationes Mathematicae (2007)

  • Volume: 34, Issue: 1, page 113-119
  • ISSN: 1233-7234

Abstract

top
This work solves the partial differential equation for Jack polynomials C κ α 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.

How to cite

top

Francisco J. Caro-Lopera, José A. Díaz-García, and Graciela González-Farías. "A formula for Jack polynomials of the second order." Applicationes Mathematicae 34.1 (2007): 113-119. <http://eudml.org/doc/279259>.

@article{FranciscoJ2007,
abstract = {This work solves the partial differential equation for Jack polynomials $C_\{κ\}^\{α\}$ 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.},
author = {Francisco J. Caro-Lopera, José A. Díaz-García, Graciela González-Farías},
journal = {Applicationes Mathematicae},
language = {eng},
number = {1},
pages = {113-119},
title = {A formula for Jack polynomials of the second order},
url = {http://eudml.org/doc/279259},
volume = {34},
year = {2007},
}

TY - JOUR
AU - Francisco J. Caro-Lopera
AU - José A. Díaz-García
AU - Graciela González-Farías
TI - A formula for Jack polynomials of the second order
JO - Applicationes Mathematicae
PY - 2007
VL - 34
IS - 1
SP - 113
EP - 119
AB - This work solves the partial differential equation for Jack polynomials $C_{κ}^{α}$ 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.
LA - eng
UR - http://eudml.org/doc/279259
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.