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#### Bernstein Functions

De Gruyter 2010; US$ 133.00This text is a self-contained and unified approach to Bernstein functions and their subclasses, bringing together old and establishing new connections. Applications of Bernstein functions in different fields of mathematics are given, with special attention to interpretations in probability theory. An extensive list of complete Bernstein... more...

#### Complex Analysis

Princeton University Press 2010; US$ 95.00With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the... more...

#### Applied Complex Variables for Scientists and Engineers

Cambridge University Press 2010; US$ 68.00This introductory text on complex variable methods has been updated with even more examples and exercises. more...

#### Dynamik meromorpher Funktionen auf der Riemannschen Zahlenkugel

Diplomica Verlag 2008; US$ 43.59Hauptbeschreibung Fatou und Julia veröffentlichten 1919/1920 bzw. 1918 ihre berühmten Arbeiten über die Iteration komplexer rationaler Funktionen. Durch die Anwendung des Konzeptes der normalen Familie durch Fatou und Julia standen der komplexen Dynamik nun funktionentheoretische Ergebnisse zur Verfügung. Julia und Fatou gelang so der Durchbruch... more...

#### Cauchy and the Creation of Complex Function Theory

Cambridge University Press 1997; US$ 52.00Dr Smithies analyses the process whereby Cauchy created the basic structure of complex function theory. more...

#### Dynamics in One Complex Variable. (AM-160): (AM-160)

Princeton University Press 2011; US$ 72.50This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed... more...

#### Complex Analysis

Springer 2010; US$ 139.00This volume represents the proceedings of a conference on Several Complex Variables, PDE's, geometry, and their interactions, held July 7-11, 2008 at the University of Fribourg, Switzerland, in honor of Linda Rothschild. The contributors are leading experts who were invited plenary speakers at the conference, or who were invited by the editors... more...

#### Vitushkin's Conjecture for Removable Sets

Springer 2011; US$ 109.00Vitushkin's conjecture, a special case of Painleve's problem, states that a compact subset of the complex plane with finite linear Hausdorff measure is removable for bounded analytic functions if and only if it intersects every rectifiable curve in a set of zero arclength measure. Chapters 1-5 of the book provide important background material... more...

#### Value Distribution of Meromorphic Functions

Springer 2011; US$ 129.00"Value Distribution of Meromorphic Functions" focuses on functions meromorphic in an angle or on the complex plane, T directions, deficient values, singular values, potential theory in value distribution and the proof of the celebrated Nevanlinna conjecture. The book introduces various characteristics of meromorphic functions and their connections,... more...

#### Schwarz's Lemma from a Differential Geometric Viewpoint

World Scientific Publishing Company 2010; US$ 75.00The subject matter in this volume is Schwarz's lemma which has become a crucial theme in many branches of research in mathematics for more than a hundred years to date. This volume of lecture notes focuses on its differential geometric developments by several excellent authors including, but not limited to, L. Ahlfors, S.S. Chern, Y.C. Lu, S.T.... more...