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Browsing Natural and Agricultural Sciences by UP Author "Jooste, Alta"
Now showing items 1-10 of 10
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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.
Now showing items 1-10 of 10