Nota de FísicaPublicado
Transformations of Heun's Equation and its Integral Relations
Léa Jaccoud El-Jaick; Bartolomeu Donatila Bonorino Figueiredo
Datos de la publicación
- Autores
- Léa Jaccoud El-Jaick; Bartolomeu Donatila Bonorino Figueiredo
- Tipo
- Nota de Física
- Estado
- Publicado
- Fecha de publicación
- 11/01/2011
- Descripción
- 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, afford new kernels for the confluent Heun equation as well.
- Año
- 2011
- Número
- CBPF-NF-002/11
- Vínculo con tesis
- No
- Vínculo con beca
- No