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Interlacing of the zeros of Jacobi polynomials with different parameters |
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| Authors: | Kathy Driver Kerstin Jordaan Norbert Mbuyi |
| Affiliation: | 1. Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag X3, Rondebosch, 7701, Cape Town, South Africa 2. Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, 0002, South Africa |
| 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. |
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