Real zeros of 2F1 hypergeometric polynomials
Classical Analysis and ODEs
2013-01-31 v1
Abstract
We use a method based on the division algorithm to determine all the values of the real parameters and for which the hypergeometric polynomials have real, simple zeros. Furthermore, we use the quasi-orthogonality of Jacobi polynomials to determine the intervals on the real line where the zeros are located.
Keywords
Cite
@article{arxiv.1301.4771,
title = {Real zeros of 2F1 hypergeometric polynomials},
author = {D. Dominici and S. J. Johnston and K. Jordaan},
journal= {arXiv preprint arXiv:1301.4771},
year = {2013}
}