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The solution of Heun’s equation. (English) Zbl 0948.34002

Summary: An explicit representation of the standard solution to Heun’s equation is obtained as a convergent multiple series. This is effected by the intermediate use of Babister’s inhomogeneous hypergeometric functions.

MSC:

34A05 Explicit solutions, first integrals of ordinary differential equations
33E10 Lamé, Mathieu, and spheroidal wave functions
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
33E20 Other functions defined by series and integrals
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