PageHeader : Funkcialaj Ekvacioj, 11 (1968), 1-38 Title : On the Regular Perturbation of the Subdominant Title : Solution to Second Order Linear Ordinary Title : Differential Equations with Title : Polynomial Coefficients1) AuthorInfo : By Frank E. MULLIN AuthorInfo : (TRW Systems, California) section : Chapter I. Introduction. subsection : 1. Preliminary Remarks. subsection : 2. Statement of the Problem. subsection : 3. Case I: $\deg P\geqq\deg Q$ . subsection : 4. Case II: $\deg P<\deg Q$ . subsection : 5. The Analytic Transformation. section : Chapter II. Proof of Theorem I. subsection : 6. Proof of Theorem I. section : Chapter III. Proof of Theorem II. subsection : 7. Sketch of Proof. subsection : 8. Proof of Lemma 1. subsection : 9. Proof of lemma 2. subsection : 10. Proof of Lemma 3. subsection : 11. Proof of Theorem III. subsection : Acknowledgement. section : Bibliography