Real zeros of 2F1 hypergeometric polynomials
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Date
Authors
Dominici, Diego
Johnston, S.J.
Jordaan, Kerstin Heidrun
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
We use a method based on the division algorithm to determine all the values of the real
parameters b and c for which the hypergeometric polynomials 2F1(−n, b; c; z) have n
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.
Description
Keywords
Orthogonal polynomials, Zeros, Hypergeometric polynomials
Sustainable Development Goals
Citation
Dominici, D, Johnston, SJ & Jordaan, K 2013, 'Real zeros of 2F1 hypergeometric polynomials', Journal of Computational and Applied Mathematics, vol. 247, no. 8, pp.152-161.