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math-ph2014
On spectral asymptotic of quasi-exactly solvable quartic
B. Shapiro, Milos Tater
Motivated by the earlier results, we study theoretically and numerically the asymptotics and the monodromy of the quasi-exactly solvable part of the spectrum of the quasi-exactly s…
math-ph2009★ 10 cited
On spectral polynomials of the Heun equation. II
Boris Shapiro, Kouichi Takemura, Milos Tater
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.…
math-ph2008★ 4 cited
On spectral polynomials of the Heun equation
B. Shapiro, M. Tater
The classical Heun equation has the form {Q(z) d^2/dz^2 +P(z) d/dz +V(z)}S(z)=0 where Q(z) is a cubic, P(z) at most quadratic and V(z) linear polynomials resp. In the second half o…