WorldCat Identities

Pommerenke, Christian

Overview
Works: 20 works in 50 publications in 2 languages and 709 library holdings
Roles: Editor
Classifications: QA360, 515.9
Publication Timeline
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Publications about  Christian Pommerenke Publications about Christian Pommerenke
Publications by  Christian Pommerenke Publications by Christian Pommerenke
Most widely held works by Christian Pommerenke
Boundary behaviour of conformal maps by Christian Pommerenke ( Book )
12 editions published between 1991 and 2011 in English and held by 396 WorldCat member libraries worldwide
There has been a great deal of recent interest in the boundary behaviour of conformal maps of the unit disk onto plane domains. In classical applications of conformal maps, the boundary tended to be smooth. This is not the case in many modern applications (e.g. for Julia sets). The first chapters present basic material and are also of interest for people who use conformal mapping as a tool. The later chapters deal in greater detail with classical material and, go into recent developments (e.g. by Makarov). The reader is assumed to know standard complex and real analysis. The subject of the book is developed from scratch except in a few places (e.g. quasiconformal maps) where there exist other very goodbooks: in such cases Pommerenke's emphasis is on giving additional information. There are over two hundred exercises most of which are easy and meant to test the reader's understanding of the text. Each chapter begins with an overview stating the main results informally
Univalent functions by Christian Pommerenke ( Book )
10 editions published in 1975 in English and German and held by 223 WorldCat member libraries worldwide
Estimates for normal meromorphic functions by Christian Pommerenke ( Book )
3 editions published in 1970 in English and held by 27 WorldCat member libraries worldwide
On normal meromorphic functions by A. J Lohwater ( Book )
3 editions published in 1973 in English and Undetermined and held by 21 WorldCat member libraries worldwide
Über die Werte der Faberschen Polynome by Christian Pommerenke ( Book )
3 editions published in 1959 in German and held by 19 WorldCat member libraries worldwide
Über die Gleichverteilung von Gitterpunkten auf m-dimensionalen Ellipsoiden by Christian Pommerenke ( Book )
4 editions published in 1959 in German and Undetermined and held by 7 WorldCat member libraries worldwide
Linear-invariante Familien analytischer Funktionen by Christian Pommerenke ( Book )
1 edition published in 1963 in German and held by 2 WorldCat member libraries worldwide
Funktionentheorie : 21.2. bis 27.2.1971 ( Book )
2 editions published in 1971 in German and held by 2 WorldCat member libraries worldwide
Funktionentheorie 13.2. bis 19.2.1972 ( Book )
1 edition published in 1972 in German and held by 1 WorldCat member library worldwide
Funktionentheorie : 15.2. bis 21.2.1976 ( Book )
1 edition published in 1976 in German and held by 1 WorldCat member library worldwide
Linear invariant families of analytic functions, part ii (linear-invariante familien analytischer funktionen ii) ( Book )
1 edition published in 1963 in English and held by 1 WorldCat member library worldwide
This paper considers normal families M of functions that are analytic, locally univalent, and normalized in the unit disk. These families are assumed to satisfy a certain invariance property. The prime example is the family U of normalized univalent functions. Another example is the family of locally univalent p-valent functions. In the first part, general properties of these families are studied. For instance, the distortion theorems for U can be generalized to the families M. If the family M is of uniformly bounded characteristic (as ins U)(as is U) then a number of geometric properties can be established, several of which are new even for the case U. In the second part, the boundary behavior of functions in M is investigated, using a certain sequence of functions again in M. Several types of boundary behavior are described and studied. (Author)
On the Two-Parabolic Subgroups of SL(2,C) by Christian Pommerenke ( )
in English and held by 1 WorldCat member library worldwide
Funktionentheorie 12.2. bis 18.2.1978 ( Book )
1 edition published in 1978 in German and held by 1 WorldCat member library worldwide
Funktionentheorie 17.2. bis 23.2.1974 ( Book )
1 edition published in 1974 in German and held by 1 WorldCat member library worldwide
Funktionentheorie 13. 2. bis 19. 2. 1983 ( Book )
1 edition published in 1983 in German and held by 1 WorldCat member library worldwide
On groups and normal polymorphic functions by Diego Mejia ( )
in English and held by 1 WorldCat member library worldwide
Univalent functions; with a chapter on quadratic differentials by Christian Pommerenke ( Book )
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
Funktionentheorie : 17.2. bis 23.2.1981 ( Book )
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
Funktionentheorie 14. 2. bis 20. 2. 1982 ( Book )
1 edition published in 1982 in German and held by 1 WorldCat member library worldwide
Funktionentheorie 16.2. bis 22.2.1986 ( Book )
1 edition published in 1986 in German and held by 1 WorldCat member library worldwide
 
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Audience level: 0.79 (from 0.00 for Funktionen ... to 0.92 for Über die ...)
Alternative Names
Pommerenke, C.
Pommerenke, Ch.
Pommerenke, Ch. (Christian)
Languages
English (31)
German (17)
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