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Browsing Natural and Agricultural Sciences by Author "Jooste, Alta"
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Jooste, Alta; Jordaan, Kerstin Heidrun
(Cambridge University Press, 2014-04)
The zeros of certain different sequences of orthogonal polynomials interlace in a well-defined way. The study of this phenomenon and the conditions under which it holds lead to a set of points that can be applied as bounds ...
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Jooste, Alta; Njionou Sadjang, P.; Koepf, W.
(Taylor and Francis, 2017-03)
Zeilberger’s celebrated algorithm finds pure recurrence relations (w. r. t. a single variable) for hypergeometric
sums automatically. However, in the theory of orthogonal polynomials and special functions,
contiguous ...
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Driver, K.; Jooste, Alta
(Taylor and Francis, 2017-04)
We consider the interlacing of zeros of polynomials within the sequences of quasi-orthogonal order one Meixner polynomials characterised by −β, c ∈ (0, 1). The interlacing of zeros of quasi-orthogonal Meixner polynomials ...
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Tcheutia, D.D.; Jooste, Alta; Koepf, W.
(Elsevier, 2018-03)
Using the q-version of Zeilberger's algorithm, we provide a procedure to find mixed recurrence equations satisfied by classical q-orthogonal polynomials with shifted parameters. These equations are used to investigate ...
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Kelil, Abey S.; Jooste, Alta; Appadu, Appanah R.
(MDPI, 2021-04-24)
This paper deals with monic orthogonal polynomials orthogonal with a perturbation
of classical Meixner–Pollaczek measure. These polynomials, called Perturbed Meixner–Pollaczek
polynomials, are described by their weight ...
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Jooste, Alta; Jordaan, Kerstin Heidrun; Tookos, Ferenc
(Springer, 2013-05)
Please read abstract in the article.
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Jooste, Alta; Jordaan, Kerstin
(Padova University Press, 2023)
Please read abstract in the article.
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Tcheutia, Daniel D.; Jooste, Alta; Koepp, Wolfram
(National Academy of Science of Ukraine, 2018-05-23)
Please read abstract in the article.
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Johnston, S.J.; Jordaan, Kerstin Heidrun; Jooste, Alta
(Taylor and Francis, 2016)
The zeros of quasi-orthogonal polynomials play a key role in applications
in areas such as interpolation theory, Gauss-type quadrature
formulas, rational approximation and electrostatics. We extend previous
results on ...
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Driver, Kathy (Cathryn Helena Stanford); Jooste, Alta; Jordaan, Kerstin Heidrun
(Kent State University, 2011-10-28)
Please read abstract in article.
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Jooste, Alta
(University of Pretoria, 2012)
Read abstract in the document