Research Problems In Function Theory
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Research Problems In Function Theory
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Author : Walter K. Hayman
language : en
Publisher: Springer Nature
Release Date : 2019-09-07
Research Problems In Function Theory written by Walter K. Hayman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-07 with Mathematics categories.
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.
Function Theory In The Unit Ball Of Cn
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Author : Walter Rudin
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-21
Function Theory In The Unit Ball Of Cn written by Walter Rudin 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 2009-05-21 with Mathematics categories.
Function Theory in the Unit Ball of Cn. From the reviews: "...The book is easy on the reader. The prerequisites are minimal—just the standard graduate introduction to real analysis, complex analysis (one variable), and functional analysis. This presentation is unhurried and the author does most of the work. ...certainly a valuable reference book, and (even though there are no exercises) could be used as a text in advanced courses." R. Rochberg in Bulletin of the London Mathematical Society. "...an excellent introduction to one of the most active research fields of complex analysis. ...As the author emphasizes, the principal ideas can be presented clearly and explicitly in the ball, specific theorems can be quickly proved. ...Mathematics lives in the book: main ideas of theorems and proofs, essential features of the subjects, lines of further developments, problems and conjectures are continually underlined. ...Numerous examples throw light on the results as well as on the difficulties." C. Andreian Cazacu in Zentralblatt für Mathematik
Function Theory Of Several Complex Variables
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Author : Steven George Krantz
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Function Theory Of Several Complex Variables written by Steven George Krantz 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 2001 with Mathematics categories.
Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.
The H Function
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Author : A.M. Mathai
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-10
The H Function written by A.M. Mathai 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 2009-10-10 with Science categories.
TheH-function or popularly known in the literature as Fox’sH-function has recently found applications in a large variety of problems connected with reaction, diffusion, reaction–diffusion, engineering and communication, fractional differ- tial and integral equations, many areas of theoretical physics, statistical distribution theory, etc. One of the standard books and most cited book on the topic is the 1978 book of Mathai and Saxena. Since then, the subject has grown a lot, mainly in the elds of applications. Due to popular demand, the authors were requested to - grade and bring out a revised edition of the 1978 book. It was decided to bring out a new book, mostly dealing with recent applications in statistical distributions, pa- way models, nonextensive statistical mechanics, astrophysics problems, fractional calculus, etc. and to make use of the expertise of Hans J. Haubold in astrophysics area also. It was decided to con ne the discussion toH-function of one scalar variable only. Matrix variable cases and many variable cases are not discussed in detail, but an insight into these areas is given. When going from one variable to many variables, there is nothing called a unique bivariate or multivariate analogue of a givenfunction. Whatever be the criteria used, there may be manydifferentfunctions quali ed to be bivariate or multivariate analogues of a given univariate function. Some of the bivariate and multivariateH-functions, currently in the literature, are also questioned by many authors.
Semigroups In Geometrical Function Theory
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Author : D. Shoikhet
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-07-31
Semigroups In Geometrical Function Theory written by D. Shoikhet 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 2001-07-31 with Mathematics categories.
This manuscript provides an introduction to the generation theory of nonlinear one-parameter semigroups on a domain of the complex plane in the spirit of the Wolff-Denjoy and Hille-Yoshida theories. Special attention is given to evolution equations reproduced by holomorphic vector fields on the unit disk. A dynamic approach to the study of geometrical properties of univalent functions is emphasized. The book comprises six chapters. The preliminary chapter and chapter 1 give expositions to the theory of functions in the complex plane, and the iteration theory of holomorphic mappings according to Wolff and Denjoy, as well as to Julia and Caratheodory. Chapter 2 deals with elementary hyperbolic geometry on the unit disk, and fixed points of those mappings which are nonexpansive with respect to the Poincaré metric. Chapters 3 and 4 study local and global characteristics of holomorphic and hyperbolically monotone vector-fields, which yield a global description of asymptotic behavior of generated flows. Various boundary and interior flow invariance conditions for such vector-fields and their parametric representations are presented. Applications to univalent starlike and spirallike functions on the unit disk are given in Chapter 5. The approach described may also be useful for higher dimensions. Audience: The book will be of interest to graduate students and research specialists working in the fields of geometrical function theory, iteration theory, fixed point theory, semigroup theory, theory of composition operators and complex dynamical systems.
My Life And Functions
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Author : Walter K. Hayman
language : en
Publisher: Lulu.com
Release Date : 2014
My Life And Functions written by Walter K. Hayman and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Biography & Autobiography categories.
This is the autobiography of Walter Kurt Hayman. Born in Germany in 1926, he came to Britain in 1938 to escape the Nazis. Educated at Gordonstoun School in Scotland and Cambridge, he was influenced by Mary Cartwright and J. E. Littlewood. He was elected to the Royal Society in 1956 and appointed Professor of Pure Mathematics at Imperial College, London. For over 30 years there he ran a world-famous school in Complex Analysis. He then spent 10 years at York before returning to Imperial College, where he is a Senior Research Fellow. He has received many prizes, awards and honorary degrees. Twice widowed, he now lives in Gloucestershire with his third wife, Marie. He gives a frank account of a life dominated by mathematics, music, friendship, family and service. There are 15 photographs, and a full list of his 218 publications to date. An index lists all persons mentioned in the text. This paperback edition is designed to be as affordable as possible. A hard-cover edition is also available.
Research Problems In Function Theory
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Author : Walter Kurt Hayman
language : fr
Publisher:
Release Date : 1967
Research Problems In Function Theory 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 1967 with categories.
Geometric Function Theory In One And Higher Dimensions
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Author : Ian Graham
language : en
Publisher: CRC Press
Release Date : 2003-03-18
Geometric Function Theory In One And Higher Dimensions written by Ian Graham and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-18 with Mathematics categories.
This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions. It introduces the in
Problems And Theorems In Analysis I
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Author : George Polya
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-12-11
Problems And Theorems In Analysis I written by George Polya 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 1997-12-11 with Mathematics categories.
From the reviews: "The work is one of the real classics of this century; it has had much influence on teaching, on research in several branches of hard analysis, particularly complex function theory, and it has been an essential indispensable source book for those seriously interested in mathematical problems." Bulletin of the American Mathematical Society
Problems In Applied Mathematics
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Author : Murray S. Klamkin
language : en
Publisher: SIAM
Release Date : 1990-01-01
Problems In Applied Mathematics written by Murray S. Klamkin and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Mathematics categories.
A compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959.