Multi-point quasi-rational approximants for the modified Bessel function I1(x)

5th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Martin, P.^1 ; Olivares, J.^2 ; Cortés-Vega, L.^2 ; Sotomayor, A.^2

Physics Department, Antofagasta University, Chile^1

Department of Mathematics, Antofagasta University, Chile^2

关键词: Approximants;    Matlab- software;    Modified Bessel function;    Multi-points;    Positive value;    Rational approximants;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/738/1/012066/pdf
DOI  :  10.1088/1742-6596/738/1/012066

来源: IOP

【 摘 要 】

Approximants for the modified Bessel function I1(x) has been found using the multi-point quasi-rational technique. The approximations here determined has good accuracy for any positive value of the variable, and it seems to be adequate for most of the works where this function are used. Furthermore, the approximants are simple to calculate numerically in a direct way or using any usual MAPLE or MATLAB software.