There are many results of the form :
"Here is an interesting family of polynomials of a complex variable and here is the asymptotic distribution of zeros."
Such results can be found for The Jones polynomials of families of Links a la Shrock and Chang
There are results on the zeros of Partition polynomials by Boyer and Goh
Alan Sokal also has many papers investigating of limiting behavior of zeros when looking at Potts Model partition functions.
I am wondering if there are any result that go the other direction?
In particular I have a family of recursively defined polynomials and I know that the zeros converge on the unit circle and a collection of isolated points.
Has anyone seen results that would tell me something about such polynomials, or any results at all that start with a family of polynomials and their limiting distribution of zeros?
P.S.
I don't really know what a good tag should be. So if anyone knows please add it.
