On Some Classes Of Meromorphic Functions
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On Some Classes Of Meromorphic Functions
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Author : Hasi Wulan
language : en
Publisher:
Release Date : 1998
On Some Classes Of Meromorphic Functions written by Hasi Wulan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Functions of complex variables categories.
On Some Classes Of Meromorphic Functions
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Author : James N. Walbert
language : en
Publisher:
Release Date : 1975
On Some Classes Of Meromorphic Functions written by James N. Walbert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Functions categories.
Bounds For The Number Of Deficient Values Of Certain Classes Of Meromorphic Functions
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Author : Albert Edrei
language : en
Publisher:
Release Date : 1961
Bounds For The Number Of Deficient Values Of Certain Classes Of Meromorphic Functions written by Albert Edrei and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Functions categories.
Normal Families Of Meromorphic Functions
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Author : Qitai Zhuang
language : en
Publisher: World Scientific
Release Date : 1993-04-27
Normal Families Of Meromorphic Functions written by Qitai Zhuang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-04-27 with Mathematics categories.
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.
Normal Families Of Meromorphic Functions
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Author : Chi-Tai Chuang
language : en
Publisher: World Scientific
Release Date : 1993
Normal Families Of Meromorphic Functions written by Chi-Tai Chuang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
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 m-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.
On A Class Of Meromorphic Functions And Their Derivatives
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Author : Zhongjun Yang
language : en
Publisher:
Release Date : 1970
On A Class Of Meromorphic Functions And Their Derivatives written by Zhongjun Yang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
The Domain Of Univalence Of Certain Classes Of Meromorphic Functions
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Author : Raymond J. Distler
language : en
Publisher:
Release Date : 1963
The Domain Of Univalence Of Certain Classes Of Meromorphic Functions written by Raymond J. Distler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Entire And Meromorphic Functions
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Author : Lee A. Rubel
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-02-28
Entire And Meromorphic Functions written by Lee A. Rubel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-02-28 with Mathematics categories.
Mathematics is a beautiful subject, and entire functions is its most beautiful branch. Every aspect of mathematics enters into it, from analysis, algebra, and geometry all the way to differential equations and logic. For example, my favorite theorem in all of mathematics is a theorem of R. NevanJinna that two functions, meromorphic in the whole complex plane, that share five values must be identical. For real functions, there is nothing that even remotely corresponds to this. This book is an introduction to the theory of entire and meromorphic functions, with a heavy emphasis on Nevanlinna theory, otherwise known as value-distribution theory. Things included here that occur in no other book (that we are aware of) are the Fourier series method for entire and mero morphic functions, a study of integer valued entire functions, the Malliavin Rubel extension of Carlson's Theorem (the "sampling theorem"), and the first-order theory of the ring of all entire functions, and a final chapter on Tarski's "High School Algebra Problem," a topic from mathematical logic that connects with entire functions. This book grew out of a set of classroom notes for a course given at the University of Illinois in 1963, but they have been much changed, corrected, expanded, and updated, partially for a similar course at the same place in 1993. My thanks to the many students who prepared notes and have given corrections and comments.
Meromorphic Functions
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Author : Walter Kurt Hayman
language : en
Publisher:
Release Date : 1964
Meromorphic Functions written by Walter Kurt Hayman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Functions, Meromorphic categories.
Meromorphic Functions And Linear Algebra
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Author : Olavi Nevanlinna
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Meromorphic Functions And Linear Algebra written by Olavi Nevanlinna and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This volume describes for the first time in monograph form important applications in numerical methods of linear algebra. The author presents new material and extended results from recent papers in a very readable style. The main goal of the book is to study the behavior of the resolvent of a matrix under the perturbation by low rank matrices. Whereas the eigenvalues (the poles of the resolvent) and the pseudospectra (the sets where the resolvent takes large values) can move dramatically under such perturbations, the growth of the resolvent as a matrix-valued meromorphic function remains essentially unchanged. This has practical implications to the analysis of iterative solvers for large systems of linear algebraic equations. First, the book introduces the basics of value distribution theory of meromorphic scalar functions. It then introduces a new nonlinear tool for linear algebra, the total logarithmic size of a matrix, which allows for a nontrivial generalization of Rolf Nevanlinna's characteristic function from the scalar theory to matrix- and operator-valued functions. In particular, the theory of perturbations by low rank matrices becomes possible. As an example, if the spectrum of a normal matrix collapses under a low rank perturbation, there is always a compensation in terms of the loss of orthogonality of the eigenvectors. This qualitative phenomenon is made quantitative by using the new tool. Applications are given to rational approximation, to the Kreiss matrix theorem, and to convergence of Krylov solvers. The book is intended for researchers in mathematics in general and especially for those working in numerical linear algebra. Much of the book is understandable if the reader has a good background in linear algebra and a first course in complex analysis.