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Complex Analysis I
Entire and Meromorphic Functions Polyanalytic Functions and Their Generalizations
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249 b
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The first part of the volume contains a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications. It includes the fundamental notions, methods and results on the growth of entire functions and the distribution of their zeros, the Rolf Nevanlinna theory of distribution of values of meromorphic functions including the inverse problem, the theory of completely regular growth, the concept of limit sets for entire and subharmonic functions. Polyanalytic functions form one of the most natural generalizations of analytic functions and are described in Part II. It contains a detailed review of recent investigations concerning the function-theoretical pecularities of polyanalytic functions (boundary behaviour, value distributions, degeneration, uniqueness etc).
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