How to rewrite $\textit{Bessel-Kelvin}$ such that it is implementable in computer program?

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Winding ac resistance is given by

$R_{ac}=R_{dc}\cdot\frac{\gamma}{2}\cdot [ \frac{ber_0(\gamma)\cdot bei_1(\gamma) - ber_0(\gamma)\cdot ber_1(\gamma)}{ber_1(\gamma)^2+bei_1(\gamma)^2} - \frac{bei_0(\gamma)\cdot ber_1(\gamma) - bei_0(\gamma)\cdot bei_1(\gamma)}{ber_1(\gamma)^2+bei_1(\gamma)^2} ]$

which consists of $\textit{Bessel-Kelvin}$ functions and I would like to know how I can solve this so that I can implement this in MATLAB or any other program.

EDIT: Power series expansion of Bessel function (First kind positive order):

$J_v(x) = \sum_{k=0}^{\infty} \frac{(-1)^k(x/2)^{v+2k}}{k!\zeta(v+k+1)}$

No idea how to simplify it, I only want to be able to implement it into computer software.