Transformations of Heun's equation and its integral relations

Details Transformations of Heun's equation and its integral relations Transformations of Heun's equation and its integral relations

2010-02-24

arxiv.org/abs/1002.4559v3

Physics

Mathematical Physics

This version was published in J. Phys. A: Math. Theor. 44 (2011) 075204

Scientific paper

We find transformations of variables which preserve the form of the equation for the kernels of integral relations among solutions of the Heun equation. These transformations lead to new kernels for the Heun equation, given by single hypergeometric functions (Lambe-Ward-type kernels) and by products of two hypergeometric functions (Erd\'elyi-type). Such kernels, by a limiting process, also afford new kernels for the confluent Heun equation.

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