Research Catalog

Theory of entire and meromorphic functions : deficient and asymptotic values and singular directions

Title
Theory of entire and meromorphic functions : deficient and asymptotic values and singular directions / Zhang Guan-hou.
Author
Zhang, Guan-hou, 1937-1987.
Publication
Providence, R.I. : American Mathematical Society, ©1993.

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StatusFormatAccessCall NumberItem Location
TextUse in library QA353.E5 Z4313 1993Off-site

Details

Description
xi, 375 pages; 26 cm.
Series Statement
Translations of mathematical monographs ; v. 122
Uniform Title
  • Cheng han shu ho yeh chʻun han shu li lun. English
  • Translations of mathematical monographs ; v. 122.
Alternative Title
Cheng han shu ho yeh chʻun han shu li lun.
Subjects
Bibliography (note)
  • Includes bibliographcial references (p. 371-375).
Contents
Ch. 1. Nevanlinna Theory -- 1.1. Poisson-Jensen formula -- 1.2. characteristic function -- 1.3. Alhfors-Shimizu characteristic -- 1.4. First Fundamental Theorem -- 1.5. Lemma on the logarithmic derivative -- 1.6. Second Fundamental Theorem -- 1.7. Annotated notes -- Ch. 2. Singular Directions -- 2.1. On some properties of monotonic functions -- 2.2. Boutroux-Cartan Theorem -- 2.3. Fundamental theorem of value distribution of functions meromorphic in a disk -- 2.4. Julia and Borel directions -- 2.5. On the growth of the entire function -- 2.6. On the Nevanlinna direction -- 2.7. Annotated notes -- Ch. 3. Deficient Value Theory -- 3.1. harmonic measure and the Lindelof-type theorem -- 3.2. Length-Area Principle -- 3.3. On the growth of meromorphic functions with deficient values -- 3.4. Weitsman Theorem -- 3.5. Edrei-Fuchs Theorem -- 3.6. Annotated notes -- Ch. 4.
ISBN
  • 0821845896
  • 9780821845899
LCCN
93000043
OCLC
  • ocm27338143
  • 27338143
  • SCSB-9092796
Owning Institutions
Princeton University Library