ABSTRACT

Suppose first that a, is a given finite point of A. From Chapter 5, Theorem 3.1 we know that with prescribed initial conditions each holomorphic solution W(5) of (2.05) is unique. With (2.07) this implies that in A there is a unique holomorphic function h ( ~ ) , say, which satisfies (1 1.02) and the conditions h(a,) = ht(a,) = 0. Variation of parameters shows that h(5) also satisfies (1 1.03), and since by Theorem 10.1 the solution of (1 1.03) is unique, it follows that h(5) = h(5) along 1.