Interlacing of the zeros of Jacobi polynomials with different parameters
… Abstract We prove results for the interlacing of zeros of Jacobi polynomials of the same or
adjacent degree as one or both of the parameters are shifted continuously within a certain
range. Numerical examples are given to illustrate situations where interlacing fails to occur. …
Our first two results show that interlacing of zeros occur for Jacobi polynomials of
consecutive degree when one of the parameters α or β is increased by t where 0 < t ≤ 2,
while the other parameter remains fixed. …
adjacent degree as one or both of the parameters are shifted continuously within a certain
range. Numerical examples are given to illustrate situations where interlacing fails to occur. …
Our first two results show that interlacing of zeros occur for Jacobi polynomials of
consecutive degree when one of the parameters α or β is increased by t where 0 < t ≤ 2,
while the other parameter remains fixed. …
Abstract
We prove results for the interlacing of zeros of Jacobi polynomials of the same or adjacent degree as one or both of the parameters are shifted continuously within a certain range. Numerical examples are given to illustrate situations where interlacing fails to occur.
Springer
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