Polynomial Solutions of the Heun Equation

In: Acta polytechnica: journal of advanced engineering, Band 51, Heft 4

Abstract

We review properties of certain types of polynomial solutions of the Heun equation. Two aspects are particularly concerned, the interlacing property of spectral and Stieltjes polynomials in the case of real roots of these polynomials and asymptotic root distribution when complex roots are present.