Normal families of meromorphic functions
Author(s)
Bibliographic Information
Normal families of meromorphic functions
World Scientific, c1993
Available at / 19 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc20:510.1/c472070292766
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This book presents in a clear and systematic manner the general theory of normal families, quasi-normal families and Qm-normal families of meromorphic functions, and various applications. Much of this book contains results of the author's research, among them is the notion of Qm-normality which includes the classical notions of normality and quasi-normality introduced by Montel as particular cases. In this book, the notion of closed families of meromorphic functions is also introduced. In addition, applications concerning the existence of the solution of various extremal problems for certain classes of univalent or multivalent functions can also be found.
Table of Contents
- Basic notions and theorems
- criteria of normality of families of holomorphic functions and applications
- criteria of normality of families of meromorphic functions and applications
- closed families of meromorphic functions
- quasi-normal families of meromorphic functions
- further applications
- extensions of some criteria of normality and quasi-normality
- Qm-normal families of meromorphic functions
- applications of the theory of Qm-normal families of meromorphic functions.
by "Nielsen BookData"