A finite-difference method for parameter-plane analysis

Factorial series are used for deriving a method of successive solutions of parameter-plane equations for real, uniform and positive increments in the complex variable. A difference table of trigonometric sine and cosine functions is formulated for evaluating the real and imaginary parts of complex products occurring in the factorial series expansion. Coefficients, nonlinear in the parameters, are approximated by Taylor's series, and an estimate is given for the total remainder neglected in one iteration.