### Abstract

We introduce Heine-Stieltjes polynomials, describe classical results of Heine, Stieltjes, Van Vleck and Shah on the distribution of their zeros as well as more recent asymptotic results, both in the semiclassical and thermodynamic regime.

### Related Links

- http://www.math.mcgill.ca/jakobson/papers/lame1.ps - Law of large numbers for zeros of Heine-Stieltjes polynomials