Jack Polynomials of Second Order

This work solves the partial diÆerential equation for the Jack polynomials of second order. When the parameter Æ of the solution takes the values 1 = 2 ; 1 and 2 we get explicit formulas for the quaternionic, complex and real zonal polynomials of second order, respectively.

Bibliographic Details
Author: JOSE ANTONIO DIAZ GARCIA
Format: report
Status:Published version
Publication Date:2006
Country:México
Institution:Centro de Investigación en Matemáticas
Repository:Repositorio Institucional CIMAT
Language:English
OAI Identifier:oai:cimat.repositorioinstitucional.mx:1008/652
Online Access:http://cimat.repositorioinstitucional.mx/jspui/handle/1008/652
Access Level:Open access
Keyword:info:eu-repo/classification/MSC/Análisis Multivariado
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
info:eu-repo/classification/cti/1209
info:eu-repo/classification/cti/120909
Description
Summary:This work solves the partial diÆerential equation for the Jack polynomials of second order. When the parameter Æ of the solution takes the values 1 = 2 ; 1 and 2 we get explicit formulas for the quaternionic, complex and real zonal polynomials of second order, respectively.