The Fokker-Planck coefficients for Coulomb interaction, or the frictio
n coefficient (Delta ($) over right arrow v(alpha)) (the average chang
e in velocity) and the diffusion coefficient (Delta ($) over right arr
ow v(alpha)Delta ($) over right arrow v(alpha)), are evaluated by an a
ppropriate variable change technique. This approach reduces the five-f
old integral expressions of the Fokker-Planck coefficients to one-fold
integral without meeting the divergence difficulties. A new Debye cut
off parameter Delta v(amin) instead of the customary theta(min) cutoff
avoids the error incurred through the customary neglecting of velocit
y dependence of the Coulomb logarithm. The dominant terms of the new r
esults are similar to Chandrasekhar's results. A non-dominant term, wh
ich can exceed the dominant one in the case of v(alpha)(2) > v(beta t)
(2) In Lambda, is added for (Delta v(alpha parallel to)(2)).