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On the Bloch Heuristic Principle, normality, and totally ramified values

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Abstract.

Guided by the Bloch Heuristic Principle, we give a characterization of entire functions of order ≦ 1 with two totally ramified values, a normality criterion for analytic functions in plane domains, and a Picard type theorem. The results are complemented by various examples for completeness.

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Authors and Affiliations

  1. Department of Mathematics, Florida International University, University Park, Miami, FL, 33199, USA

    Bao Qin Li

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  1. Bao Qin Li
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Correspondence to Bao Qin Li.

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Received: 7 November 2005

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Li, B.Q. On the Bloch Heuristic Principle, normality, and totally ramified values. Arch. Math. 87, 417–426 (2006). https://doi.org/10.1007/s00013-006-1788-5

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  • DOI: https://doi.org/10.1007/s00013-006-1788-5

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