Gómez-Ullate, DavidMarcellán Español, Francisco JoséMilson, Robert2016-06-302016-06-302012-03-01Journal of Mathematical Analysis and Applications, 399 (Issue 2), pp. 480-4950022-247Xhttp://hdl.handle.net/10016/23256In 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.application/pdfeng© Elsevier 2013Atribución-NoComercial-SinDerivadas 3.0 Españazerosouter relative asymptoticsHeine-Mehler formulasSturm-Liouville problemsalgebraic Darboux transformationsexceptional orthogonal polynomialsresearch articleMatemáticas10.1016/j.jmaa.2012.10.032open access480495Journal of Mathematical Analysis and Applications399AR/0000011294