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Abstract In this paper, in terms of the hyperbolic metric, we give a condition under which the image of a hyperbolic domain of an analytic function contains a round annulus… Click to show full abstract
Abstract In this paper, in terms of the hyperbolic metric, we give a condition under which the image of a hyperbolic domain of an analytic function contains a round annulus centred at the origin. From this, we establish results on the multiply connected wandering domains of a meromorphic function that contain large round annuli centred at the origin. We thereby successfully extend the results of transcendental meromorphic functions with finitely many poles to those with infinitely many poles.
Keywords:
connected wandering;
meromorphic functions;
wandering domains;
multiply connected;
domains meromorphic;
hyperbolic metric
Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2017
Link to full text (if available)
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Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2017
Link to full text (if available)
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recommendations!