Real zeros of 2F1 hypergeometric polynomials
| dc.contributor.author | Dominici, Diego | |
| dc.contributor.author | Johnston, S.J. | |
| dc.contributor.author | Jordaan, Kerstin Heidrun | |
| dc.contributor.email | kerstin.jordaan@up.ac.za | en_US |
| dc.date.accessioned | 2013-09-09T07:36:23Z | |
| dc.date.available | 2013-09-09T07:36:23Z | |
| dc.date.issued | 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 | http://www.elsevier.com/locate/cam | 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/j.cam.2012.12.024 | |
| dc.identifier.uri | http://hdl.handle.net/2263/30816 | |
| 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/j.cam.2012.12.024 | 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 |