Solution of Transcendental Equations by Series Reversion An algorithm is developed for expressing the solution Y, of the equation F(Y) = G(X) as a power series in (X - X0) when f and g are given as power series,and the root Y0, is known at Y=X0. The algorithm is illustrated for the equation Y^Y = X, i.e., (1+y)*ln(1+y) = ln(1+x). CACM January, 1966 Thacher Jr., H. C. CA660102 JB March 3, 1978 4:27 PM 1495 4 1495 1494 5 1495 1495 5 1495 1495 5 1495 1495 5 1495 1495 6 1495