Precise analytic approximation for the modified Bessel function $I_1(x)$

Authors

  • P. Martin
  • J. Olivares
  • A. Sotomayor

Keywords:

Approximations, expansions, special functions

Abstract

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 quasi-rational approximation technique, MPQA. This is obtained combining rational functions with elementary auxiliary functions as a bridge function between the power series and asymptotic expansion.

Downloads

Published

2017-01-01

How to Cite

[1]
P. Martin, J. Olivares, and A. Sotomayor, “Precise analytic approximation for the modified Bessel function $I_1(x)$”, Rev. Mex. Fís., vol. 63, no. 2 Mar-Apr, pp. 130–0, Jan. 2017.

Issue

Vol. 63 No. 2 Mar-Apr (2017): Revista Mexicana de Física

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.