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On the Lower Spherical Order for Locally Univalent Meromorphic Functions

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Abstract

We present the notion of lower spherical order for locally injective meromorphic functions in the unit disk, and study some properties of functions with positive lower spherical order.

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Authors and Affiliations

  1. Sede Medellín, Escuela de Matemáticas, Universidad Nacional de Colombia, Calle 59A # 63-20, Bloque 43, Medellín, Colombia

    Juan Arango, Hugo Arbeláez & Diego Mejía

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  1. Juan Arango
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  2. Hugo Arbeláez
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  3. Diego Mejía
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Correspondence to Diego Mejía.

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Communicated by Stephan Ruscheweyh.

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Arango, J., Arbeláez, H. & Mejía, D. On the Lower Spherical Order for Locally Univalent Meromorphic Functions. Comput. Methods Funct. Theory 17, 273–288 (2017). https://doi.org/10.1007/s40315-016-0181-z

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  • DOI: https://doi.org/10.1007/s40315-016-0181-z

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