Polynomial Solutions of the Heun Equation

Acta Polytechnica

M. Tater¹  B. Shapiro¹ 

关键词: Heun equation;    Van Vleck and Stieltjes polynomials;    asymptotic root distribution;    logarithmic potential;   

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

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.

【 授权许可】

Unknown