Some Upper Bounds for the Spherical Derivative

Sakari Toppila
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Sakari Toppila: University of Helsinki, Department of Mathematics

A chapter in Deformations of Mathematical Structures, 1989, pp 45-49 from Springer

Abstract: Abstract The author answers the question: what can be said on functions with a Nevanlinna deficient value and of positive lower order λ less than 1/2 ? It is given in the following three theorems: Thm. 1. Let f be a meromorphic function of lower order λ, 0 1 - cos πλ. Then 1 $$ {\lim_{{r \to - \infty }}}\inf \frac{{\log \mu \left( {r,f} \right)}}{{T\left( {r,f} \right)}} \leqslant \frac{{ - \pi \lambda }}{{\sin \pi \lambda }}\left( {\cos \pi \lambda + \delta (\infty, f) - 1} \right) $$ Thm. 2. Given λ, 0

Keywords: Lower Order; Entire Function; Meromorphic Function; London Math; Logarithmic Derivative (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2643-1_4

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DOI: 10.1007/978-94-009-2643-1_4

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