Asymptotic Expansions of the Generalized Epstein-Hubbell Integral

Chelo Ferreira ^[1] ; José L. López ^[2]
1. [1] Universidad de Zaragoza
  
  Universidad de Zaragoza
  
  Zaragoza, España
2. [2] Universidad Pública de Navarra
  
  Universidad Pública de Navarra
  
  Pamplona, España
Localización: XVII Congreso de Ecuaciones Diferenciales y Aplicaciones ; VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001 / coord. por Luis Ferragut Canals, Anastasio Pedro Santos Yanguas, 2001, ISBN 8469961446, págs. 625-626
Idioma: inglés
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Resumen
- The generalized Epstein-Hubbell integral (2) recently introduced by Kalla and Tuan [4] is considered for values of the variable k close to its upper limit k = 1. Distributional approach is used for deriving two convergent expansions of this integral in increasing powers of 1 − k 2 . All the expansions are accompanied by an error bound at any order of the approximation. Numerical experiments show that this bound is considerably accurate.