Convolutions in geometric function theory
Ruscheweyh S.
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
Կատեգորիաներ:
Տարի:
1982
Հրատարակչություն:
Presses de l'Université de Montréal
Լեզու:
english
Էջեր:
165
ISBN 10:
2760606007
ISBN 13:
9782760606005
Սերիաներ:
Séminaire de mathématiques supérieures
Ֆայլ:
DJVU, 772 KB
IPFS:
,
english, 1982