Displaying similar documents to “An ordinary differential operator and its applications to certain classes of multivalently meromorphic functions.”

Convex meromorphic mappings

Albert E. Livingston (1994)

Annales Polonici Mathematici

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We study functions f(z) which are meromorphic and univalent in the unit disk with a simple pole at z = p, 0 < p < 1, and which map the unit disk onto a domain whose complement is either convex or is starlike with respect to a point w₀ ≠ 0.