Real zeros of 2F1 hypergeometric polynomials

Show simple item record Dominici, Diego Johnston, S.J. Jordaan, Kerstin Heidrun 2013-09-09T07:36:23Z 2013-09-09T07:36:23Z 2013-08
dc.description.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. en_US
dc.description.librarian hb2013 en_US
dc.description.sponsorship Research by the first author was supported by a Humboldt Research Fellowship for Experienced Researchers from the Alexander von Humboldt Foundation. Research by the third author was partially supported by the National Research Foundation under grant number 2054423. en_US
dc.description.uri en_US
dc.identifier.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. en_US
dc.identifier.issn 0377-0427 (print)
dc.identifier.issn 1879-1778 (online)
dc.identifier.other 10.1016/
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.rights © 2013 Elsevier B.V. All rights reserved.Notice : this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational and Applied Mathematics, vol.247, no. 8, 2013, doi.: 10.1016/ en_US
dc.subject Orthogonal polynomials en_US
dc.subject Zeros en_US
dc.subject Hypergeometric polynomials en_US
dc.title Real zeros of 2F1 hypergeometric polynomials en_US
dc.type Postprint Article en_US

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