UID:
almahu_9947367682602882
Format:
1 online resource (876 p.)
Edition:
1st ed.
ISBN:
1-281-01297-1
,
9786611012977
,
0-08-049517-6
Content:
Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem.
Note:
Description based upon print version of record.
,
Cover; Handbook of Complex Analysis: Geometric Function Theory; Copyright Page; Contents; Preface; List of Contributors of Volume 1; List of Contributors; Contents of Volume 1; Chapter 1. Quasiconformal mappings in Euclidean spaces; Chapter 2. Variational principles in the theory of quasiconformal maps; Chapter 3. The conformal module of quadrilaterals and of rings; Chapter 4. Canonical conformal and quasiconformal mappings. Identities. Kernel functions; Chapter 5. Univalent holomorphic functions with quasiconformal extensions; Chapter 6. Transfinite diameter, Chebyshev constant and capacity
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Chapter 7. Some special classes of conformal mappingsChapter 8. Univalence and zeros of complex polynomials; Chapter 9. Methods for numerical conformal mapping; Chapter 10. Univalent harmonic mappings in the plane; Chapter 11. Quasiconformal extensions and reflections; Chapter 12. Beltrami equation; Chapter 13. The application of conformal maps in electrostatics; Chapter 14. Special functions in Geometric Function Theory; Chapter 15. Extremal functions in Geometric Function Theory. Higher transcendental functions. Inequalities; Chapter 16. Eigenvalue problems and conformal mapping
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Chapter 17. Foundations of quasiconformal mappingsChapter 18. Quasiconformal mappings in value-distribution theory; Chapter 19. Bibliography of Geometric Function Theory; Author Index; Subject Index
,
English
Additional Edition:
ISBN 0-444-51547-X
Language:
English
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