By A. A. Abramov

Mathematical Tables of In ? (z) for advanced Argument is a compilation of tables of In ? (z), z = x + iy, calculated for steps in x and y of 0.01 and with an accuracy of 1 unit within the final (the 6th) decimal position. Interpolation is used to calculate In ? (z) for intermediate values and is conducted individually for the genuine and imaginary elements of In ? (z). Six locations are retained in interpolation.

This ebook first explains how the values of In ? (z) are calculated utilizing the asymptotic formulation in a large lattice with step h = 0.16, and the way the tables and the nomograph are used. The values within the lattice are interpolated successively on the facilities of varied symmetric figures. The calculation of In ? (z) outdoor the quadrangle is additionally thought of. formulation for the calculation of In ? (z) open air the given rectangle are indexed. The nomograph is meant to facilitate the interpolation process. a number of the calculations (including the rounding off of the implications to the 6th position and the calculation of moment changes) are performed by way of analytical computers.

This monograph should be of curiosity to mathematicians and arithmetic scholars.

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