Gamma-Lines : On the Geometry of Real and Complex Functions /: On the Geometry of Real and Complex Functions. (2014)
- Record Type:
- Book
- Title:
- Gamma-Lines : On the Geometry of Real and Complex Functions /: On the Geometry of Real and Complex Functions. (2014)
- Main Title:
- Gamma-Lines : On the Geometry of Real and Complex Functions
- Further Information:
- Note: Griogor A. Barsegian.
- Authors:
- Barsegian, Griogor A
- Contents:
- Cover; Half Title; Title Page; Copyright Page; Contents; Introduction to the series; Preface; Introduction; 1 Tangent variation principle: satellite principles; 1.1. Modifications of length-area principle; 1.2. Tangent variation principle; 1.3. Estimates for collections of T-lines; 1.4. Estimates of lengths of T-lines for angular-quasiconformal mappings; 1.5. Remarks on application of estimates ofh(D, F); 2 Nevanlinna and Ahlfors' theories: additions; 2.1. Basic concepts and, outcomes of Nevanlinna value distribution theory and Ahlfors' theory of covering surfaces 2.2. Geometric deficient values2.3. On some additions to Ahlfors' theory of covering surfaces; 2.4. Bounds of some integrals; 3 T-lines' approach in the theory of meromorphic functions; 3.1. Principle of closeness of sufficiently large sets ofa-points of meromorphic functions; 3.2. Integrated version of the principle: connections with known classes of functions; 4 Distribution of T-lines for functions meromorphic in C: Applications; 4.1. The main results on distribution of T-lines; 4.2. ""Windings"" of T-lines; 4.3. Average lengths of T-lines along concentric circles and the deficient values 4.4. Distribution of T-lines and value distribution of modules and real parts of meromorphic functions4.5. The number of T-lines crossing rings; 4.6. Distribution of Gelfond points; 4.7. Nevanlinna's dream-description of transcendental ramification ofRiemann surfaces; 4.8. The proximity property of a-points of meromorphicCover; Half Title; Title Page; Copyright Page; Contents; Introduction to the series; Preface; Introduction; 1 Tangent variation principle: satellite principles; 1.1. Modifications of length-area principle; 1.2. Tangent variation principle; 1.3. Estimates for collections of T-lines; 1.4. Estimates of lengths of T-lines for angular-quasiconformal mappings; 1.5. Remarks on application of estimates ofh(D, F); 2 Nevanlinna and Ahlfors' theories: additions; 2.1. Basic concepts and, outcomes of Nevanlinna value distribution theory and Ahlfors' theory of covering surfaces 2.2. Geometric deficient values2.3. On some additions to Ahlfors' theory of covering surfaces; 2.4. Bounds of some integrals; 3 T-lines' approach in the theory of meromorphic functions; 3.1. Principle of closeness of sufficiently large sets ofa-points of meromorphic functions; 3.2. Integrated version of the principle: connections with known classes of functions; 4 Distribution of T-lines for functions meromorphic in C: Applications; 4.1. The main results on distribution of T-lines; 4.2. ""Windings"" of T-lines; 4.3. Average lengths of T-lines along concentric circles and the deficient values 4.4. Distribution of T-lines and value distribution of modules and real parts of meromorphic functions4.5. The number of T-lines crossing rings; 4.6. Distribution of Gelfond points; 4.7. Nevanlinna's dream-description of transcendental ramification ofRiemann surfaces; 4.8. The proximity property of a-points of meromorphic functions; 4.9. A proof of the proximity property of a-points based on investigation of T-lines only; 5 Some applied problems; 5.1. T-lines in physics; 5.2. On the cross road of value distribution, T-lines, free boundary theories and applied mathematics 5.3. ""Point maps "" of physical processes and a-points of general classes of functions5.4 On a-points of some non-holomorphic function; References; Index … (more)
- Publisher Details:
- Boca Raton, FL : CRC Press
- Publication Date:
- 2014
- Extent:
- 1 online resource
- Subjects:
- 511.3/3
Mathematical analysis
Mathematics
Mathematical analysis
Mathematics
Electronic books - Languages:
- English
- ISBNs:
- 9781482264852
1482264854 - Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
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- Physical Locations:
- British Library HMNTS - ELD.DS.282835
- Ingest File:
- 01_189.xml