## Conformal Mappings and Boundary Value Problems |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Conformal Mappings of Simply Connected Domains | 25 |

Conformal Mappings of Multiply Connected Domains | 95 |

Applications of Integrals of the Cauchy Type | 137 |

simply connected domains | 154 |

The Hilbert Boundary Value Problem for Analytic | 189 |

Basic Boundary Value Problems for Harmonic | 231 |

A Brief Introduction to Quasiconformal Mappings | 273 |

Some Connections between Integral Equations | 285 |

299 | |

### Common terms and phrases

analytic function Problem analytically continued annulus assume boundary condition boundary F boundary value problem Chapter choose circle circular arcs circular domain closed curve closed sets conformally maps contains the point converges on closed corresponding denote Dirichlet boundary value domain G equation exists a unique fn(z formula function which conformally harmonic function u(z Hence Hilbert boundary value inequality integral representation inverse function Jordan curve kernel Lemma line segment linearly independent maps the domain meromorphic function multiply connected domains n-connected neighborhood obtain point at oc point condition point ZQ polynomial positive number problem for analytic problem for harmonic Problem H proof of Theorem prove the existence real constants respectively satisfies boundary condition satisfies the boundary satisfies the following sequence simply connected domain solution to Problem solution u(z solvability conditions subharmonic functions Suppose Theorem 1.1 un(z uniformly converges unit disc univalent analytic function upper half-plane z-plane zeros

### References to this book

Partial Differential and Integral Equations Heinrich Begehr,R.P. Gilbert,Wen-Chung Guo Limited preview - 1998 |