Research Problems in Function Theory
Fiftieth Anniversary Edition
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Beschreibung
In 1967 Walter K. Hayman published ‘Research Problems in Function Theory’, a list of 141 problems in seven areas of function theory. In the decades following, this list was extended to include two additional areas of complex analysis, updates on progress in solving existing problems, and over 520 research problems from mathematicians worldwide. It became known as ‘Hayman's List’.
This Fiftieth Anniversary Edition contains the complete ‘Hayman's List’ for the first time in book form, along with 31 new problems by leading international mathematicians. This list has directed complex analysis research for the last half-century, and the new edition will help guide future research in the subject. The book contains up-to-date information on each problem, gathered from the international mathematics community, and where possible suggests directions for further investigation.
Aimed at both early career and established researchers, this book provides the key problems and results needed to progress in the most important research questions in complex analysis, and documents the developments of the past 50 years.
In 1967 Walter K. Hayman published ‘Research Problems in Function Theory’, a list of 141 problems in seven areas of function theory. In the decades following, this list was extended to include two additional areas of complex analysis, updates on progress in solving existing problems, and over 520 research problems from mathematicians worldwide. It became known as ‘Hayman's List’.
This Fiftieth Anniversary Edition contains the complete ‘Hayman's List’ for the first time in book form, along with 31 new problems by leading international mathematicians. This list has directed complex analysis research for the last half-century, and the new edition will help guide future research in the subject. The book contains up-to-date information on each problem, gathered from the international mathematics community, and where possible suggests directions for further investigation. Aimed at both early career and established researchers, this book provides the key problems andresults needed to progress in the most important research questions in complex analysis, and documents the developments of the past 50 years.Provides the complete ‘Hayman’s List’ of over 500 problems for the first time, including 31 new problems Provides research updates on the leading questions in complex analysis Contains over 1,000 references indexed to the associated problems Includes supplementary material: sn.pub/extras
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Walter K. Hayman
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“This book is superbly written, it is a pleasure to read, and it will surely prove to be an indispensable tool for all researchers interested in function theory. … This up-to-date list of problems will surely keep function theorists intrigued for further 50 years or more.” (Risto Korhonen, zbMATH 1455.30002, 2021)
“It is an absorbing, indeed addictive, volume for anyone interested in complex variables. … I encourage every reader of this review to get a copy of this wonderful book.” (Christopher Bishop, Mathematical Reviews, June, 2020)
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