Complex Analysis and Potential Theory Proceedings of the Conference Satellite to ICM 2006 1st Edition by Tahir Aliyev Azeroglu, Promarz M Tamrazov ISBN 9812705988 9789812705983

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Product details:

ISBN 10: 9812705988

ISBN 13: 9789812705983

Author: Tahir Aliyev Azeroglu, Promarz M. Tamrazov

This volume gathers the contributions from outstanding mathematicians, such as Samuel Krushkal, Reiner K hnau, Chung Chun Yang, Vladimir Miklyukov and others.It will help researchers to solve problems on complex analysis and potential theory and discuss various applications in engineering. The contributions also update the reader on recent developments in the field. Moreover, a special part of the volume is completely devoted to the formulation of some important open problems and interesting conjectures.

Table of contents:

Part A: TALKS

1. Strengthened Moser’s Conjecture and Finsler Geometry of Grunsky Coefficients
2. Decompositions of Meromorphic Functions Over Small Functions Fields
3. Speed of Approximation to Degenerate Quasiconformal Mappings and Stability Problems
4. Grunsky Inequalities, Fredholm Eigenvalues, Reflection Coefficients
5. Sums of Reciprocal Eigenvalues
6. Geometry of the General Beltrami Equations
7. A Particular Polyharmonic Dirichlet Problem
8. Finely Meromorphic Functions in Contour-Solid Problems
9. A Generalized Schwartz Lemma at the Boundary
10. Singular Perturbation Problems in Potential Theory and Applications
11. Residues on a Klein Surface
12. Combinatorial Theorems of Complex Analysis
13. Geometric Approach in the Theory of Generalized Quasiconformal Mappings
14. Separately Quasi-Nearly Subharmoriic Functions
15. Harmonic Commutative Banach Algebras and Spatial Potential Fields
16. The Parameter Space of Error Functions of the Form a z0 e-w2 dw
17. On Potential Theory Associated to a Coupled PDE
18. An Implicit Function Theorem for Sobolev Mappings
19. A Relation Among Ramanujan’s Integral Formula, Shannon’s Sampling Theorem and Plana’s Summation
20. Asymptotic Expansions of the Solutions to the Heat Equations with Generalized Functions Initial Value
21. On the Existence of Harmonic Differential Forms with Prescribed Singularities
22. Approximate Properties of the Bieberbach Polynomials on the Complex Domains
23. Harmonic Transfinite Diameter and Chebyshev Constants
24. On Properties of Moduli of Smoothness of Conformal Mappings
25. Strict Stability Criteria of Perturbed Systems with Respect to Unperturbed Systems in Terms of Initial Data
26. Piecewise Continuous Riemann Boundary Value Problem on a Closed Jordan Rectifiable Curve
27. A Note on the Modified Crank-Nicholson Difference Schemes for Schrödinger Equation

Part B: OPEN PROBLEMS
28. Some Old (Unsolved) and New Problems and Conjectures on Functional Equations of Entire and Meromorphic Functions
29. An Open Problem on the Bohr Radius
30. Open Problems on Hausdorff Operators

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Tags: Tahir Aliyev Azeroglu, Promarz M Tamrazov, Complex Analysis, Potential Theory, Conference, Satellite, ICM 2006