A. Jooste

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20182024

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math.CA2024

Interlacing of zeros from different sequences of Meixner-Pollaczek, Pseudo-Jacobi and Continuous Hahn polynomials

Aletta Jooste, Kerstin Jordaan

In this paper we consider interlacing of the zeros of polynomials from different sequences ${p_{n}}$ and ${g_{n}}$ . In our main result we consider a mixed recurrence equation neces…

math.CA2021

Recurrence equations involving different orthogonal polynomial sequences and applications

A. S. Jooste, D. D. Tcheutia, W. Koepf

Consider ${p_{n}}_{n = 0}^{\infty}$ , a sequence of polynomials orthogonal with respect to $w (x) > 0$ on $(a, b)$ , and polynomials ${g_{n, k}}_{n = 0}^{\infty}, k \in N_{0}$ , orthog…

math.CA2018

Quasi-Orthogonality of Some Hypergeometric and $q$ -Hypergeometric Polynomials

Daniel D. Tcheutia, Alta S. Jooste, Wolfram Koepf

We show how to obtain linear combinations of polynomials in an orthogonal sequence ${P_{n}}_{n \geq 0}$ , such as $Q_{n, k} (x) = i = 0 \sum k a_{n, i} P_{n - i} (x)$ , $a_{n,0}a_{n,k}\…

Interlacing of zeros from different sequences of Meixner-Pollaczek, Pseudo-Jacobi and Continuous Hahn polynomials

Recurrence equations involving different orthogonal polynomial sequences and applications

Quasi-Orthogonality of Some Hypergeometric and q-Hypergeometric Polynomials

Quasi-Orthogonality of Some Hypergeometric and $q$ -Hypergeometric Polynomials