@article{gomez-ullateAsymptoticInterlacingProperties2013,
 abstract = {In this paper we state and prove some properties of the zeros of exceptional Jacobi and Laguerre polynomials. Generically, the zeros of exceptional polynomials fall into two classes: the regular zeros, which lie in the interval of orthogonality and the exceptional zeros, which lie outside that interval. We show that the regular zeros have two interlacing properties: one is the natural interlacing between zeros of consecutive polynomials as a consequence of their Sturm-Liouville character, while the other one shows interlacing between the zeros of exceptional and classical polynomials. A Heine-Mehler type formula is provided for the exceptional polynomials, which allows to derive the asymptotic behaviour of their regular zeros for large degree n and fixed codimension m. We also describe the location and the asymptotic behaviour of the m. exceptional zeros, which converge for large n to fixed values.},
 author = {Gómez-Ullate, David and Marcellán, Francisco and Milson, Robert},
 copyright = {https://www.elsevier.com/tdm/userlicense/1.0/},
 doi = {10.1016/j.jmaa.2012.10.032},
 file = {/Users/david/Zotero/storage/56GWQKIK/Gómez-Ullate et al. - 2013 - Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials.pdf},
 issn = {0022247X},
 journal = {Journal of Mathematical Analysis and Applications},
 langid = {english},
 month = {March},
 number = {2},
 pages = {480--495},
 title = {Asymptotic and Interlacing Properties of Zeros of Exceptional Jacobi and Laguerre Polynomials},
 urldate = {2025-10-19},
 volume = {399},
 year = {2013}
}