Polynomial Solutions of the Heun Equation

B. Shapiro, M. Tater

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.

Keywords


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

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This work is licensed under a Creative Commons Attribution 4.0 International License.

ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague