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In this paper, the new forms obtained for Chandrasekhar's H- function inRadiative Transfer by one of the authors both for non-conservative andconservative cases for isotropic scattering in a semi-infinite plane parallelatmosphere are used to obtain exclusively new forms for the first and secondderivatives of H-function . The numerics for evaluation of zero of dispersionfunction, for evaluation of H-function and its derivatives and its zeroth, thefirst and second moments are outlined. Those are used to get ready and accurateextensive tables of H-function and its derivatives, pole and moments fordifferent albedo for scattering by iteration and Simpson's one third rule . Theschemes for interpolation of H-function for any arbitrary value of thedirection parameter for a given albedo are also outlined. Good agreement hasbeen observed in checks with the available results within one unit of ninthdecimal

Numerical evaluation of Chandrasekhar's H-function, its first and second  differential coefficients, its pole and moments from the new form for plane  parallel scattering atmosphere in radiative transfer