Journal article
On incomplete symmetric orthogonal polynomials of Jacobi type
Publication Details
Authors:  MasjedJamei, M.; Koepf, W.

Journal:  Integral Transforms and Special Functions 
Abstract
In this paper, by using the extended SturmLiouville theorem for symmetric functions, we introduce the following differential equation [image omitted] in which =2s(2s+2a2m+1), =2s(2s+2a2m+1)2(2r+1)(r+am+1) and n=(mn+2s+(rs+(m1)/2)(1(1)n))(mn+2s+2a+1+2mb+(rs+(m1)/2)(1(1)n)) and show that one of its basic solutions is a class of incomplete symmetric polynomials orthogonal with respect to the weight function x2a(1x2m)b on [1,1]. We also obtain the norm square value of this orthogonal class.