On Spectral Polynomials of the Heun Equation

Abstract

The well-known Heun equation has the form  Q(z) d 2 dz 2 + P (z) d dz + V (z) ff S(z) = 0, where Q(z) is a cubic complex polynomial, P (z) and V (z) are polynomials of degree at most 2 and 1 respectively. One of the classical problems about the Heun equation suggested by E. Heine and T. Stieltjes in the late 19-th century is for a given positive integer n… (More)

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