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The MacLane class and complex differential equations in the unit disk
Authors:K.E. Fowler  L.R. Sons
Affiliation:a University of Tampa, 401 W. Kennedy Blvd., Tampa, FL 33606, United States
b Northern Illinois University, DeKalb, IL 60115, United States
Abstract:The interaction between the coefficients and solutions for linear differential equations and for Riccati differential equations is investigated in the unit disk in terms of their asymptotic values as described by the MacLane class. This interaction is further explored within the context of a meromorphic version of the MacLane class.
Keywords:MacLane class   Complex analysis   Linear differential equations   Riccati differential equations   Analytic functions   Meromorphic functions   Unit disk
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