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- catalog abstract "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.".
- catalog contributor b9767828.
- catalog contributor b9767829.
- catalog created "c1996.".
- catalog date "1996".
- catalog date "c1996.".
- catalog dateCopyrighted "c1996.".
- catalog description "Includes bibliographical references (p. [182]-184) and index.".
- catalog 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.".
- catalog extent "viii, 187 p. :".
- catalog identifier "0387945105 (softcover : alk. paper)".
- catalog isPartOf "Universitext".
- catalog issued "1996".
- catalog issued "c1996.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "515/.98 20".
- catalog subject "Functions, Entire.".
- catalog subject "Functions, Meromorphic.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "Nevanlinna theory.".
- catalog subject "QA353.E5 R83 1996".
- catalog title "Entire and meromorphic functions / Lee A. Rubel with assistance from James E. Colliander.".
- catalog type "text".