  We present analytical approximations for the real Kelvin function ber(x) and
the imaginary Kelvin function bei(x), using the two-point quasifractional
approximation procedure. We have applied these approximations to the
calculation of the current distribution within a cylindrical conductor. Our
approximations are simple and accurate. The infinite number of roots is also
obtained with the approximation and the precision increases with the value of
the root. Our results could find useful applications in problems where
analytical approximations of the Kelvin functions are needed.
