Polynomial Solutions of the Heun Equation
- Resource Type
- article
- Authors
- B. Shapiro; M. Tater
- Source
- Acta Polytechnica, Vol 51, Iss 4 (2011)
- Subject
- Heun equation
Van Vleck and Stieltjes polynomials
asymptotic root distribution
logarithmic potential
Engineering (General). Civil engineering (General)
TA1-2040
- Language
- English
- ISSN
- 1210-2709
1805-2363
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.