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Entire and Meromorphic Functions PDF

199 Pages·1996·4.31 MB·English
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by Lee A. Rubel, James E. Colliander| 1996| 199 pages| 4.31| English

About Entire and Meromorphic Functions

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.

Detailed Information

Author:Lee A. Rubel, James E. Colliander
Publication Year:1996
ISBN:9780387945101
Pages:199
Language:English
File Size:4.31
Format:PDF
Price:FREE
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