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- W2952201608 abstract "The well-known Heun equation has the form: Q(z)S''(z)+P(z)S'(z)+V(z)S(z)=0 where Q(z) is a cubic complex polynomial, P(z) and V(z) are polynomials of degrees at most 2 and 1 resp. One of the classical problems about the Heun equation is for a given positive integer N to find all possible linear polynomials V(z) such that the latter equation has a polynomial solution S(z) of degree N. Below we prove a conjecture of the 2nd author claiming that the union of roots of such V(z)'s for a given N tends when N->oo to a certain compact connecting the three roots of Q(z) and given by the condition that a certain natural abelian integral is real-valued." @default.
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- W2952201608 date "2009-04-03" @default.
- W2952201608 modified "2023-09-27" @default.
- W2952201608 title "On spectral polynomials of the Heun equation. II" @default.
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