Polynomial Solutions of the Heun Equation

B. Shapiro, M. Tater


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.


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

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