Asymptotic Solution Of Differential Equations In a Domain Containing a Regular Singular Point
Nicholas D. Kazarinoff, ROBERT W. MCKELVEY · Canadian Journal of Mathematics · 1956
1. Introduction. In this paper we study the asymptotic behavior in λ of the solutions about the origin in the z-plane of the differential equation . Both the variable z and the parameter λ are complex. The coefficient P(z, λ) is assumed to be analytic and single-valued in λ at infinity and in z throughout a bounded, closed, simply connected domain D containing z = 0.