Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
On zeros of hypergeometric polynomials
Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2007.
Saved in:
| Other Authors: | |
|---|---|
| Format: | Thesis |
| Published: |
University of Pretoria
2013
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613502313594880 |
|---|---|
| access_status_str | Open Access |
| author2 | Jordaan, Kerstin Heidrun |
| author_browse | Jordaan, Kerstin Heidrun |
| author_facet | Jordaan, Kerstin Heidrun |
| collection | Thesis |
| dc_rights_str_mv | © University of Pretor |
| description | Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2007. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/28347 |
| institution | University of Pretoria (South Africa) |
| last_indexed | 2026-06-10T12:37:10.039Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2013 |
| publishDateRange | 2013 |
| publishDateSort | 2013 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/28347 On zeros of hypergeometric polynomials Jordaan, Kerstin Heidrun norbertmbuyi@yahoo.fr Mbuyi Cimwanga, Norbert Hypergeometric polynomials Contiguous relations UCTD Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2007. Our focus, in this thesis, is on zeros of hypergeometric polynomials. Several problems in various areas of science can be seen in terms of the search of zeros of functions; and this search can be reduced to finding the zeros of approximating polynomials, since under some conditions, functions can be approximated by polynomials. In this thesis, we consider the zeros of a specific polynomial, namely the hypergeometric polynomial. We review some work done on the zero location and the asymptotic zero distribution of Gauss hypergeometric polynomials with real parameters. We extend some contiguous relations of 2F1 functions, and then we deduce the zero location for some classes of Gauss polynomials with non-real parameters. We study the asymptotic zero distribution of some classes of 3F2polynomials that extend results in the literature. Mathematics and Applied Mathematics MSc unrestricted 2013-09-07T13:21:25Z 2007-10-03 2013-09-07T13:21:25Z 2006-12-05 2007-10-03 2007-10-02 Dissertation Mbuyi Cimwanga, N 2007, On zeros of hypergeometric polynomials, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/28347> Pretoria http://hdl.handle.net/2263/28347 http://upetd.up.ac.za/thesis/available/etd-10022007-130238/ © University of Pretor application/pdf University of Pretoria |
| spellingShingle | Hypergeometric polynomials Contiguous relations UCTD On zeros of hypergeometric polynomials |
| title | On zeros of hypergeometric polynomials |
| title_full | On zeros of hypergeometric polynomials |
| title_fullStr | On zeros of hypergeometric polynomials |
| title_full_unstemmed | On zeros of hypergeometric polynomials |
| title_short | On zeros of hypergeometric polynomials |
| title_sort | on zeros of hypergeometric polynomials |
| topic | Hypergeometric polynomials Contiguous relations UCTD |
| url | http://hdl.handle.net/2263/28347 http://upetd.up.ac.za/thesis/available/etd-10022007-130238/ |