Asymptotics of the spectrum of Heun's equation and of Heun's functions

M. V. Fedoryuk


Abstract: New classes of Heun's functions that are eigenfunctions of a two-parameter spectral problem with boundary conditions at singular points of Heun's equation are introduced. The asymptotics of the spectrum and of Heun's functions are studied.

UDC: 517.927.25

MSC: 34B30, 34E10, 33E30

Received: 31.01.1990

 English version: Mathematics of the USSR-Izvestiya, 1992, 38:3, 621–635

Bibliographic databases:

• 
• 
• 
•