Ultraspherical moments on a set of disjoint intervals
Classical Analysis and ODEs
2019-01-15 v1
Abstract
Moment evaluations are important for the study of non-classical orthogonal polynomial systems for which explicit representations are not known. In this paper we compute, in terms of the hypergeometric function, the moments associated with a generalized ultraspherical weight on a collection of intervals with two symmetric gaps. These moments, parametrized by the endpoints of the gaps, are identified as a one parameter deformation between the full range ultraspherical moments and the half range ultraspherical moments.
Keywords
Cite
@article{arxiv.1901.04219,
title = {Ultraspherical moments on a set of disjoint intervals},
author = {Hashem AlSabi and James Griffin},
journal= {arXiv preprint arXiv:1901.04219},
year = {2019}
}
Comments
15 pages, 3 figures