Transcendental singularities for a meromorphic function with logarithmic derivative of finite lower order

It is shown that two key results on transcendental singularities for meromorphic functions of finite lower order have refinements which hold under the weaker hypothesis that the logarithmic derivative has finite lower order.

Bibliographic Details
Main Author: Langley, J.K.
Format: Article
Published: Springer Verlag 2019
Online Access:https://eprints.nottingham.ac.uk/53112/
Description
Summary:It is shown that two key results on transcendental singularities for meromorphic functions of finite lower order have refinements which hold under the weaker hypothesis that the logarithmic derivative has finite lower order.