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On The Geometry Of Functions Holomorphic In The Unit Circle Of Arbitrarily Slow Growth Which Tend To Infinity On A Sequence Of Curves Approaching The Circumference

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On The Geometry Of Functions Holomorphic In The Unit Circle Of Arbitrarily Slow Growth Which Tend To Infinity On A Sequence Of Curves Approaching The Circumference

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Author : Gerald R. MacLane
language : en
Publisher:
Release Date : 1961

On The Geometry Of Functions Holomorphic In The Unit Circle Of Arbitrarily Slow Growth Which Tend To Infinity On A Sequence Of Curves Approaching The Circumference written by Gerald R. MacLane and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Algebra categories.

IT IS WELL KNOWN THAT THERE EXIST FUNCTIONS H(), holomorphic in 1, with H() () where (r) is a given positive function which as r 1, and such that min rn H() approaches as n . Here rn 1 is an appropriately chosen sequence. Such functions may be constructed by the use of gap series or via an infinite product. The object of the present note is to construct such a function geometrically by starting with the Riemann surface onto which w = H()maps 1. The essence of the argument is in showing that is hyperbolic and that M(r) (r); these results are obtained via Caratheodory's theory of kernels. (Author).

The Theory Of Cluster Sets

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Author : E. F. Collingwood
language : en
Publisher: Cambridge University Press
Release Date : 2004-06-03

The Theory Of Cluster Sets written by E. F. Collingwood and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-03 with Mathematics categories.

An introduction to the theory of cluster sets, a branch of topological analysis.

Technical Abstract Bulletin

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Author : Defense Documentation Center (U.S.)
language : en
Publisher:
Release Date : 1964

Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Military art and science categories.

Oar Cumulative Index Of Research Results

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Author :
language : en
Publisher:
Release Date :

Oar Cumulative Index Of Research Results written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Aeronautics categories.

Oar Cumulative Index Of Research Results

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Author : United States. Air Force. Office of Aerospace Research
language : en
Publisher:
Release Date : 1963

Oar Cumulative Index Of Research Results written by United States. Air Force. Office of Aerospace Research and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Aeronautics categories.

Oar Quarterly Index Of Current Research Results

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Author : United States. Air Force. Office of Aerospace Research
language : en
Publisher:
Release Date : 1964

Oar Quarterly Index Of Current Research Results written by United States. Air Force. Office of Aerospace Research and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Aeronautics, Military categories.