Geodesic
Asymptotics of the spectrum of Heun's equation and of Heun's functions
Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 621-635.

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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. 
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M. V. Fedoryuk. Asymptotics of the spectrum of Heun's equation and of Heun's functions. Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 621-635. http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a8/

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