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Angular Value Distribution of Power Series with Gaps
Author(s) -
Hayman W. K.
Publication year - 1972
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s3-24.4.590
Subject(s) - value (mathematics) , series (stratigraphy) , mathematics , citation , distribution (mathematics) , power (physics) , combinatorics , mathematical economics , computer science , library science , statistics , mathematical analysis , physics , thermodynamics , geology , paleontology
(1.2) £^-»0 as n^oo, n and if f(z) has infinite order, then every line is a line of Julia. Thus/(2) assumes in every angle every value with at most one exception infinitely often. This result has recently been extended by Anderson and Clunie ([1]) to functions of finite positive order. The case of zero order has remained open. Biernacki ([3]) has shown that if the indices nk, for which an # 0 satisfy the gap condition