On Angular Limits of Normal Meromorphic Functions: A Geometric Aspect
Author(s) -
Žarko Pavićević
Publication year - 2014
Publication title -
journal of complex analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 7
eISSN - 2314-4963
pISSN - 2314-4971
DOI - 10.1155/2014/216398
Subject(s) - meromorphic function , limit (mathematics) , unit disk , mathematics , function (biology) , unit (ring theory) , mathematical analysis , pure mathematics , evolutionary biology , biology , mathematics education
We will prove the assertions which give necessary and sufficient conditions for a normal meromorphic function on the open unit disk to have an angular limit. The results obtained show that the conditions from the classical Lindelöf theorem, as well as the theorems of Lehto and Virtanen and Bagemihl and Seidel, concerning angular limit values of meromorphic functions, can be weakened
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom