What people are saying - Write a review
We haven't found any reviews in the usual places.
Conformal Mappings of Simply Connected Domains
Conformal Mappings of Multiply Connected Domains
Applications of Integrals of the Cauchy Type
simply connected domains
The Hilbert Boundary Value Problem for Analytic
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