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On the Size of the Exceptional Set in Nevanlinna Theory
Author(s) -
Arias Arturo Fernández
Publication year - 1986
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-34.3.449
Subject(s) - meromorphic function , nevanlinna theory , logarithmic derivative , mathematics , lemma (botany) , set (abstract data type) , logarithm , function (biology) , plane (geometry) , derivative (finance) , pure mathematics , mathematical analysis , computer science , geometry , economics , ecology , poaceae , evolutionary biology , financial economics , biology , programming language
An example of a meromorphic function F in the plane is shown, for which the exceptional set in the logarithmic derivative lemma, in fact, occurs. This example is used to show that some conditions on the size of the exceptional set are the best that we can obtain.