Browsing Theses and Dissertations (Mathematics and Applied Mathematics) by Supervisor "Jordaan, Kerstin Heidrun"

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Interlacing zeros of linear combinations of classical orthogonal polynomials

Mbuyi Cimwanga, Norbert (University of Pretoria, 2009)

Please read the abstract in the front of this document.
On zeros of hypergeometric polynomials

Mbuyi Cimwanga, Norbert (University of Pretoria, 2007-10-03)

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 ...
Properties of a class of generalized Freud polynomials

Kelil, Abey (University of Pretoria, 2018)

Semiclassical orthogonal polynomials are polynomials orthogonal with respect to semiclassical weights. The fascinating link between semiclassical orthogonal polynomials and discrete integrable equations can be traced back ...
Some applications of Sturm's comparison theorem

Du Toit, Lindie (University of Pretoria, 2012)

We consider several classes of orthogonal polynomials as well as the Bessel function where we study the convexity of zeros of these polynomials, satisfying either differential or real difference equations, by applying ...
Zeros of Jacobi, Meixner and Krawtchouk Polynomials

Jooste, Alta (University of Pretoria, 2012)

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