Transformations of Heun's equation and its integral relations
| Autor: | Bartolomeu D. B. Figueiredo, Léa Jaccoud El-Jaick |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: |
Statistics and Probability
Mathematics::Classical Analysis and ODEs General Physics and Astronomy FOS: Physical sciences Statistical and Nonlinear Physics Limiting Mathematical Physics (math-ph) Computer Science::Numerical Analysis Transformation theory Modeling and Simulation Applied mathematics Mathematics::Mathematical Physics Hypergeometric function Mathematical Physics Mathematics |
| Popis: | 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. Comment: This version was published in J. Phys. A: Math. Theor. 44 (2011) 075204 |
| Databáze: | OpenAIRE |
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