Potential of High Accuracy Approximation for the Modified Bessel Function of Fractional Order \(I_{1/3}(x)\), Using MPQA Method with Hyperbolic Functions | Chapter 7 | Current Research Progress in Physical Science Vol. 2

The modified Bessel functions of fractional order \(I_{1/3}(x)\) has been approximated by an analytic function containing rational and hyperbolic functions. The Bessel functions the order 1/3 are very important, because its connection with the Airy functions. A technique using both power series and assymptotic expansion has been used. An approximation has been found for the modified Bessel function \(I_{1/3}(x)\). The accuracy of the approximation is very high using only three parameters., and the largest relative error is smaller than 0,004.

 

Author(s) Details

P. Martin

Department of Physics, Universidad de Antofagasta, Antofagasta, Chile.

Jorge Olivaresl

Department of Mathematics. Universidad de Antofagasta, Antofagasta, Chile.

E. Valero

Department of Mathematics Career, Universidad Mayor de San Andrés, La Paz, Bolivia.

 

Please see the link:- https://doi.org/10.9734/bpi/crpps/v2/516