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Analysis as a Life : Dedicated to Heinrich Begehr on the Occasion of his 80th Birthday

Author: Heinrich G W Begehr; Sergei V Rogosin; Ahmet Okay Çelebi
Publisher: Cham, Switzerland : Birkhäuser, [2019]
Series: Trends in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday. It aims at being a tribute to the excellent achievements of Heinrich Begehr in complex analysis and complex differential equations, and especially to his prominent role as one of the creators and long-time leader of the International Society for Analysis, its Applications and Computation  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Heinrich G W Begehr; Sergei V Rogosin; Ahmet Okay Çelebi
ISBN: 9783030026509 3030026507
OCLC Number: 1083671051
Description: 1 online resource
Contents: Intro; Preface; Analysis as a Life: To the 80th Birthday of Professor H. Begehr; Few Stories from the Scientific Lifeof Professor Heinrich Begehr; Contents; Deformation of Complex Structures and Boundary Value Problem with Shift; 1 Heinrich Begehr and Complex Analysis Group in Georgia; 2 Boundary Value Problem with Shift; 3 Beltrami Parametrization and Boundary Value Problem with Shift; 4 Almost Complex Structure; 5 The Holomorphic Discs Equation; 6 Relation Between Beltrami and Holomorphic Disc Equations; 7 Relation Between Pseudoanalytic Functions and Quasiconformal Mapping; References Dirichlet Problem for Poisson and Bi-Poisson Equations in Clifford Analysis1 Introduction; 2 Preliminaries; 2.1 Clifford Analysis Essentials; 2.2 Integral Representations in Clifford Analysis; 3 Dirichlet Problem for Poisson Equation; 4 Dirichlet Problem for a Second Order Linear Equation; 5 Dirichlet Problem for Bi-Poisson Equation; References; Boundary Eigenvalues of Pluriharmonic Functions for the Third Boundary Condition on the Unit Polydiscs; 1 Introduction; 1.1 The Problem; 1.2 Pluriharmonic Functions on the Unit Polydisc; 2 Fourier Series Method 3 Eigenvalue with Multiple EigenfunctionsReferences; Survey of Some General Properties of Meromorphic Functions in a Given Domain; 1 Introduction; 2 Two Principles Related to Derivatives; 2.1 Principle of Logarithmic Derivatives; 2.2 Principle of Derivatives for Simple a-Points; 3 Results Related to Level Sets and Gamma-Lines; 3.1 The Tangent Variation Principle and the Second Fundamental Theorem for Gamma-Lines; 3.2 A Particular Case When is a Straight Line; 3.3 Formulas Including Integrals of L(D,) (Some Modifications of the Ahlfors' Length-Area Principle) 3.4 On Cardinalities of the Level Sets of Functions Im w(z)4 Three Simple Consequences Related to a-Points; 5 Ahlfors Fundamental Theorems in Terms of Windings and a New Interpretation of Deficient Values; 6 Universal Version of Value Distribution for Functions in a Given Domain; References; Boundary Value Problems in Polydomains; 1 Introduction; 2 Preliminaries; 3 Integral Representations for Functions in Cn; 4 Schwarz Boundary Value Problem; 4.1 Schwarz Problem for Model Equation; 4.2 Schwarz Problem for Linear Equations in Cn; 5 Dirichlet-Type Boundary Value Problems in Polydiscs 5.1 The Properties of Integral Operators Related to G̃Dn, m5.2 Riquier Problem for Linear Higher-Order Equations in Cn; References; Completeness Theorems on the Boundary in Thermoelasticity; 1 Introduction; 2 The Completeness in the Sense of Picone; 3 Elastothermostatics; 4 The Steady Oscillation Equation; 5 Multiple Connected Domains; References; A Circle Pattern Algorithm via Combinatorial Ricci Flows; 1 Introduction; 2 Preliminaries; 3 The Iterative Process; 4 The Convergence of Algorithm; 4.1 Convergence in Euclidean Geometry; 4.2 Convergence in Hyperbolic Geometry
Series Title: Trends in mathematics.
Responsibility: editors, Sergei Rogosin and Ahmet Okay Çelebi.

Abstract:

It aims at being a tribute to the excellent achievements of Heinrich Begehr in complex analysis and complex differential equations, and especially to his prominent role as one of the creators and  Read more...

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