Solutions to theNandDEquations as Explicit Functions of the Coupling Constant

A method for obtaining solutions to the $N$ and $D$ equations as explicit functions of the coupling constant is developed. The analytic properties of $N$ and $D$ in the coupling-constant plane are investigated. Finally this method, which is particularly useful in bootstrap calculations, is used to find the self-consistent parameters in several types of scalar and pseudoscalar meson bootstrap calculations.