ENGLISH

Entire and Meromorphic Functions

By Lee A. Rubel

Book information

Publisher
Springer
Year
1996
ISBN
0387945105, 9780387945101
LCC
QA353.E5 R83 1996
Language
english
Format
PDF
Filesize
9 MB (8952773 bytes)
Series
Universitext
Edition
1
Pages
196\196
Orientation
no
Scanned
yes
Time added
2011-08-31 04:54:40

Description

This book is an introduction to the theory of entire and meromorphic functions intended for advanced graduate students in mathematics and for professional mathematicians. The book provides a clear treatment of the Nevanlinna theory of value distribution of meromorphic functions, and presentation of the Rubel-Taylor Fourier Series method for meromorphic functions and the Miles theorem on efficient quotient representation. It has a concise but complete treatment of the Polya theory of the Borel transform and the conjugate indicator diagram. It contains some of Buck's results on integer-valued entire functions, and closes with the Malliavin-Rubel uniqueness theorem. The approach gets to the heart of the matter without excessive scholarly detours. It prepares the reader for further study of the vast literature on the subject, which is one of the cornerstones of complex analysis.

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