Analytic Function Theory, Volume 2

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American Mathematical Soc., Mar 23, 2005 - Analytic functions - 496 pages
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This famous work is a textbook that emphasizes the conceptual and historical continuity of analytic function theory. The second volume broadens from a textbook to a textbook-treatise, covering the 'canonical' topics (including elliptic functions, entire and meromorphic functions, as well as conformal mapping, etc.) and other topics nearer the expanding frontier of analytic function theory. In the latter category are the chapters on majorization and on functions holomorphic in a half-plane.
 

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Contents

I
1
II
4
III
9
IV
15
V
21
VI
24
VII
31
VIII
38
XXXI
222
XXXII
229
XXXIII
235
XXXIV
241
XXXV
251
XXXVI
257
XXXVII
264
XXXVIII
268

IX
46
X
54
XI
69
XII
77
XIII
82
XIV
87
XV
93
XVI
99
XVII
105
XVIII
109
XIX
115
XX
124
XXI
130
XXII
138
XXIII
144
XXIV
156
XXV
167
XXVI
182
XXVII
192
XXVIII
201
XXIX
211
XXX
219
XXXIX
274
XL
280
XLI
290
XLII
299
XLIII
309
XLIV
320
XLV
325
XLVI
339
XLVII
346
XLVIII
359
XLIX
370
L
385
LI
393
LII
398
LIII
408
LIV
414
LV
421
LVI
429
LVII
444
LVIII
460
LIX
468
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