## View abstract

### Session III.7 - Special Functions and Orthogonal Polynomials

Tuesday, June 20, 16:30 ~ 17:00

## Exceptional polynomials and how to find them

### María Ángeles García-Ferrero

#### Universitat de Barcelona, Spain   -   This email address is being protected from spambots. You need JavaScript enabled to view it. document.getElementById('cloak0d0d0d9db6ce55b3690d7954b6ea8036').innerHTML = ''; var prefix = '&#109;a' + 'i&#108;' + '&#116;o'; var path = 'hr' + 'ef' + '='; var addy0d0d0d9db6ce55b3690d7954b6ea8036 = 'g&#97;rc&#105;&#97;f&#101;rr&#101;r&#111;' + '&#64;'; addy0d0d0d9db6ce55b3690d7954b6ea8036 = addy0d0d0d9db6ce55b3690d7954b6ea8036 + '&#117;b' + '&#46;' + '&#101;d&#117;'; var addy_text0d0d0d9db6ce55b3690d7954b6ea8036 = 'g&#97;rc&#105;&#97;f&#101;rr&#101;r&#111;' + '&#64;' + '&#117;b' + '&#46;' + '&#101;d&#117;';document.getElementById('cloak0d0d0d9db6ce55b3690d7954b6ea8036').innerHTML += '<a ' + path + '\'' + prefix + ':' + addy0d0d0d9db6ce55b3690d7954b6ea8036 + '\'>'+addy_text0d0d0d9db6ce55b3690d7954b6ea8036+'<\/a>';

Exceptional orthogonal polynomials arise as eigenfunctions of Sturm-Liouville problems and form complete bases in Hilbert spaces despite the fact of missing some degrees. Since 2009, many pages have been written about their construction and their properties, but the book is still unfinished.

In this talk, we will review some of the last lines added to the narrative of exceptional polynomials and what is missed to finish the corresponding chapters.

Joint work with D. Gómez-Ullate (IE University, Spain) and R. Milson (Dalhousie University, Canada).