Document Type Master's Dissertation Author Mbuyi Cimwanga, Norbert email@example.com URN etd-10022007-130238 Document Title On zeros of hypergeometric polynomials Degree MSc (Applied Mathematics) Department Mathematics and Applied Mathematics Supervisor
Advisor Name Title Dr K H Jordaan Keywords
- hypergeometric polynomials
- contiguous relations
Date 2006-12-05 Availability unrestricted AbstractOur 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.
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