Zeros of Orthogonal Polynomials Generated by the Geronimus Perturbation of Measures

@inproceedings{Branquinho2014ZerosOO,
title={Zeros of Orthogonal Polynomials Generated by the Geronimus Perturbation of Measures},
author={Am{\'i}lcar Branquinho and Edmundo J. Huertas and Fernando R. Rafaeli},
booktitle={ICCSA},
year={2014}
}
• Published in ICCSA 2014
• Mathematics, Computer Science
• This paper deals with monic orthogonal polynomial sequences (MOPS in short) generated by a Geronimus canonical spectral transformation of a positive Borel measure μ, i.e., (x − c)− 1 dμ(x) + Nδ(x − c), for some free parameter $$N\in{\rm{I\!R}}_{+}$$ and shift c. We analyze the behavior of the corresponding MOPS. In particular, we obtain such a behavior when the mass N tends to infinity as well as we characterize the precise values of N such the smallest (respectively, the largest) zero of these… CONTINUE READING