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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, aff ord new kernels for the confluent Heun equation as well.
Año
2011
Número
CBPF-NF-002/11
Vínculo con tesis
No
Vínculo con beca
No
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