Precise analytic approximation for the modiﬁed Bessel function I_(1)(x)

P. Martin ^[1] ; J. Olivares ^[1] ; A. Sotomayor ^[1]
1. [1] Universidad de Antofagasta
  
  Universidad de Antofagasta
  
  Antofagasta, Chile
Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 63, Nº. 2, 2017, págs. 130-133
Idioma: inglés
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Resumen
- Precise analytic approximations have been found for the modiﬁed Bessel function I_(1)(x) of order one. The approximant is simple and with good accuracy for every positive value of the variable x. The method to obtain the approximant is an improvement of the multipoint quasirational approximation technique, MPQA. This is obtained combining rational functions with elementary auxiliary functions as a bridge function between the power series and asymptotic expansion.