Value Distribution Theory and Related Topics PDF
By:Grigor A. Barsegian,Ilpo Laine,Chung-Chun Yang
Published on 2006-05-02 by Springer Science & Business Media
The Nevanlinna theory of value distribution of meromorphic functions, one of the milestones of complex analysis during the last century, was c- ated to extend the classical results concerning the distribution of of entire functions to the more general setting of meromorphic functions. Later on, a similar reasoning has been applied to algebroid functions, subharmonic functions and meromorphic functions on Riemann surfaces as well as to - alytic functions of several complex variables, holomorphic and meromorphic mappings and to the theory of minimal surfaces. Moreover, several appli- tions of the theory have been exploited, including complex differential and functional equations, complex dynamics and Diophantine equations. The main emphasis of this collection is to direct attention to a number of recently developed novel ideas and generalizations that relate to the - velopment of value distribution theory and its applications. In particular, we mean a recent theory that replaces the conventional consideration of counting within a disc by an analysis of their geometric locations. Another such example is presented by the generalizations of the second main theorem to higher dimensional cases by using the jet theory. Moreover, s- ilar ideas apparently may be applied to several related areas as well, such as to partial differential equations and to differential geometry. Indeed, most of these applications go back to the problem of analyzing zeros of certain complex or real functions, meaning in fact to investigate level sets or level surfaces.
This Book was ranked at 34 by Google Books for keyword Science Math Mathematics novel.
Book ID of Value Distribution Theory and Related Topics's Books is Vz0GCAAAQBAJ, Book which was written byGrigor A. Barsegian,Ilpo Laine,Chung-Chun Yanghave ETAG "AC9ILQ3T4fo"
Book which was published by Springer Science & Business Media since 2006-05-02 have ISBNs, ISBN 13 Code is 9781402079511 and ISBN 10 Code is 1402079516
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Book which have "333 Pages" is Printed at BOOK under CategoryMathematics
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