Growth Theory of Subharmonic Functions

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Springer Science & Business Media, Oct 20, 2008 - Mathematics - 259 pages
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In this book an account of the growth theory of subharmonic functions is given, which is directed towards its applications to entire functions of one and several complex variables.

The presentation aims at converting the noble art of constructing an entire function with prescribed asymptotic behaviour to a handicraft. For this one should only construct the limit set that describes the asymptotic behaviour of the entire function.

All necessary material is developed within the book, hence it will be most useful as a reference book for the construction of entire functions.

 

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Contents

I
1
II
3
III
7
IV
14
V
21
VI
28
VII
36
VIII
43
XVII
147
XVIII
151
XIX
152
XX
157
XXI
163
XXII
173
XXIII
177
XXIV
180

IX
52
X
62
XI
75
XII
87
XIII
99
XIV
107
XV
121
XVI
134
XXV
199
XXVI
203
XXVII
223
XXVIII
228
XXIX
247
XXX
249
XXXI
254
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