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Journal of Physics A: Mathematical and General Volume 36 Number 5 Create an alert RSS this journal

Artur Ishkhanyan and Kalle-Antti Suominen 2003 J. Phys. A: Math. Gen. 36 L81 doi:10.1088/0305-4470/36/5/101

New solutions of Heun's general equation

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Artur Ishkhanyan1 and Kalle-Antti Suominen2,3

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Abstract References Cited By

LETTER TO THE EDITOR

We show that in four particular cases the derivative of the solution of Heun's general equation can be expressed in terms of a solution to another Heun's equation. Starting from this property, we use the Gauss hypergeometric functions to construct series solutions to Heun's equation for the mentioned cases. Each of the hypergeometric functions involved has correct singular behaviour at only one of the singular points of the equation; the sum, however, has correct behaviour.


 
Changes were made to equations (6) and (10) of this letter on 24 January 2003.
PACS

02.30.Hq Ordinary differential equations

MSC

33Cxx Hypergeometric functions

Subjects

Mathematical physics

Dates

Issue 5 (7 February 2003)

Received 1 November 2002

Published 22 January 2003



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