Value distribution and the Lemma of the logarithmic derivative on polydiscs
Author(s) -
Wilhelm Stoll
Publication year - 1983
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/s0161171283000587
Subject(s) - mathematics , lemma (botany) , meromorphic function , logarithm , distribution (mathematics) , logarithmic derivative , value (mathematics) , derivative (finance) , dimension (graph theory) , mathematical analysis , pure mathematics , statistics , ecology , poaceae , financial economics , economics , biology
Value distribution is developed on polydiscs with the special emphasis that the value distribution function depend on a vector variable. A Lemma of the logarithmic derivative for meromorphic functions on polydiscs is derived. Here the Bergman boundary of the polydiscs is approached along cones of any dimension and exceptional sets for such an approach are defined
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