Analytic Functional Equations

By Ron Lenk

Analytic Functional Equations brings the systematic method of Formal Power Series to bear on solving a wide variety of Functional Equations, quickly and without the traditional guesswork. Also covered are Finite Difference Equations, and how to go from them to both Ordinary and Partial Differential Equations. A final chapter deals with a new definition of Functional Derivatives and solves several Functional Differential Equations of interest in Physics. A variety of new results are given in the book, and exercises and a large number of examples are presented throughout.