Polynomial Solutions of the Heun Equation

B. Shapiro; M. Tater

doi:10.14311/1416

Polynomial Solutions of the Heun Equation

Authors

B. Shapiro
M. Tater

DOI:

https://doi.org/10.14311/1416

Keywords:

Heun equation, Van Vleck and Stieltjes polynomials, asymptotic root distribution, logarithmic potential

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.