3 papers
math.CA2023
On zeros of quasi-orthogonal Meixner polynomials
A. S. Jooste, K. Jordaan
For each fixed value of in the range and , we investigate interlacing properties of the zeros of polynomials of consecutive degree for and $M_k(…
math.CA2011
Bounds for extreme zeros of some classical orthogonal polynomials
K. Driver, K. Jordaan
We derive upper bounds for the smallest zero and lower bounds for the largest zero of Laguerre, Jacobi and Gegenbauer polynomials. Our approach uses mixed three term recurrence rel…
math.CA2009
Zeros of Meixner and Krawtchouk polynomials
A Jooste, K Jordaan, F Tookos
We investigate the zeros of a family of hypergeometric polynomials , $n\in\nn$ that are known as the Meixner polynomials for certain values of the parameters …