Main Convolutions in geometric function theory

Convolutions in geometric function theory

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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
Request Code : ZLIBIO599439
Categories:
Year:
1982
Publisher:
Presses de l'Université de Montréal
Language:
English
Pages:
165
ISBN 10:
2760606007
ISBN 13:
9782760606005
ISBN:
2760606007,9782760606005
Series:
Séminaire de mathématiques supérieures

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