Physics NotePublished
Transformations of Heun's Equation and its Integral Relations
Léa Jaccoud El-Jaick; Bartolomeu Donatila Bonorino Figueiredo
Publication details
- Authors
- Léa Jaccoud El-Jaick; Bartolomeu Donatila Bonorino Figueiredo
- Type
- Physics Note
- Status
- Published
- Publication date
- 11/01/2011
- Description
- Using the transformation theory for the Heun equation, we find substitutions 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 (Erdélyi-type). Such kernels, by a limiting process, aff ord new kernels for the confluent Heun equation as well.
- Year
- 2011
- Number
- CBPF-NF-002/11
- Linked to a thesis
- No
- Linked to a grant
- No