*PREFACE, pg. I*TABLE OF CONTENTS, pg. III*Chapter I. The Object and Plan of This Essay, pg. 1*Chapter II. Reduction to The F-Equation, pg. 14*Chapter III. Existence and Uniqueness Theorems, pg. 39*Chapter IV. Methods of Treating Special Functions Based on The Uniqueness Theorem for The Condition F(z, alphaO) = psi (z), pg. 55*Chapter V. Remarks on Solutions Such That F(z, alphaO) = psi (z), pg. 137*Chapter VI. Conclusions and Unsolved Problems, pg. 151*Appendix I. Special Functions, pg. 163*Appendix II. Operators, pg. 174*Appendix III. Examples of Equations of Type (3-4) Not Reducible to The F-Equation, pg. 175*Bibliography, pg. 177
