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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821841105
Total Pages : 298 pages
Book Rating : 4.8/5 (411 download)
Download or read book Entire and Subharmonic Functions written by and published by American Mathematical Soc.. This book was released on 1992 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir S. Azarin
Publisher : Springer Science & Business Media
ISBN 13 : 3764388854
Total Pages : 266 pages
Book Rating : 4.7/5 (643 download)
Download or read book Growth Theory of Subharmonic Functions written by Vladimir S. Azarin and published by Springer Science & Business Media. This book was released on 2008-10-20 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book an account of the growth theory of subharmonic functions is given, which is directed towards its applications to entire functions of one and several complex variables. The presentation aims at converting the noble art of constructing an entire function with prescribed asymptotic behaviour to a handicraft. For this one should only construct the limit set that describes the asymptotic behaviour of the entire function. All necessary material is developed within the book, hence it will be most useful as a reference book for the construction of entire functions.
Author : W. K. Hayman
Publisher : Elsevier
ISBN 13 : 1483296180
Total Pages : 618 pages
Book Rating : 4.4/5 (832 download)
Download or read book Subharmonic Functions written by W. K. Hayman and published by Elsevier. This book was released on 2014-06-28 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the foundation laid in the first volume of Subharmonic Functions, which has become a classic, this second volume deals extensively with applications to functions of a complex variable. The material also has applications in differential equations and differential equations and differential geometry. It reflects the increasingly important role that subharmonic functions play in these areas of mathematics. The presentation goes back to the pioneering work of Ahlfors, Heins, and Kjellberg, leading to and including the more recent results of Baernstein, Weitsman, and many others. The volume also includes some previously unpublished material. It addresses mathematicians from graduate students to researchers in the field and will also appeal to physicists and electrical engineers who use these tools in their research work. The extensive preface and introductions to each chapter give readers an overview. A series of examples helps readers test their understatnding of the theory and the master the applications.
Author : Vladimir S. Azarin
Publisher : Springer Science & Business Media
ISBN 13 : 3764388862
Total Pages : 266 pages
Book Rating : 4.7/5 (643 download)
Download or read book Growth Theory of Subharmonic Functions written by Vladimir S. Azarin and published by Springer Science & Business Media. This book was released on 2008-12-14 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book an account of the growth theory of subharmonic functions is given, which is directed towards its applications to entire functions of one and several complex variables. The presentation aims at converting the noble art of constructing an entire function with prescribed asymptotic behaviour to a handicraft. For this one should only construct the limit set that describes the asymptotic behaviour of the entire function. All necessary material is developed within the book, hence it will be most useful as a reference book for the construction of entire functions.
Author : Tibor Rado
Publisher : Hassell Street Press
ISBN 13 : 9781013998614
Total Pages : 124 pages
Book Rating : 4.9/5 (986 download)
Download or read book On The Problem Of Plateau written by Tibor Rado and published by Hassell Street Press. This book was released on 2021-09-09 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Manfred Stoll
Publisher : Cambridge University Press
ISBN 13 : 1107541484
Total Pages : 243 pages
Book Rating : 4.1/5 (75 download)
Download or read book Harmonic and Subharmonic Function Theory on the Hyperbolic Ball written by Manfred Stoll and published by Cambridge University Press. This book was released on 2016-06-30 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.
Author : A.A. Gonchar
Publisher : Springer Science & Business Media
ISBN 13 : 3662033968
Total Pages : 268 pages
Book Rating : 4.6/5 (62 download)
Download or read book Complex Analysis I written by A.A. Gonchar and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: A two-part volume containing a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications, and a detailed review of recent investigations concerning the function-theoretical pecularities of polyanalytic functions (boundary behaviour, value distributions, degeneration, uniqueness etc).
Author : Juhani Riihentaus
Publisher : Bentham Science Publishers
ISBN 13 : 9811498687
Total Pages : 152 pages
Book Rating : 4.8/5 (114 download)
Download or read book Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties. written by Juhani Riihentaus and published by Bentham Science Publishers. This book was released on 2021-05-20 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains different types of subharmonic and harmonic functions. The book brings 12 chapters explaining general and specific types of subharmonic functions (eg. quasinearly subharmonic functions and other separate functions), related partial differential equations, mathematical proofs and extension results. The methods covered in the book also attempt to explain different mathematical analyses such as elliptical equations, domination conditions, weighted boundary behavior. The book serves as a reference work for scholars interested in potential theory and complex analysis.
Author : Boris I_Akovlevich Levin
Publisher : American Mathematical Soc.
ISBN 13 : 0821845055
Total Pages : 542 pages
Book Rating : 4.8/5 (218 download)
Download or read book Distribution of Zeros of Entire Functions written by Boris I_Akovlevich Levin and published by American Mathematical Soc.. This book was released on 1964-12-31 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lev Isaakovich Ronkin
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886687
Total Pages : 286 pages
Book Rating : 4.8/5 (866 download)
Download or read book Introduction to the Theory of Entire Functions of Several Variables written by Lev Isaakovich Ronkin and published by American Mathematical Soc.. This book was released on 1974 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tibor Radó
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.:/5 (18 download)
Download or read book Subharmonic Functions written by Tibor Radó and published by . This book was released on 1937 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Walter K. Hayman
Publisher : Springer Nature
ISBN 13 : 3030251659
Total Pages : 284 pages
Book Rating : 4.0/5 (32 download)
Download or read book Research Problems in Function Theory written by Walter K. Hayman and published by Springer Nature. This book was released on 2019-09-07 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :
Publisher : Academic Press
ISBN 13 : 9780080873138
Total Pages : 275 pages
Book Rating : 4.8/5 (731 download)
Download or read book Entire Functions written by and published by Academic Press. This book was released on 2011-08-29 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Entire Functions
Author : Tibor Rado
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.:/5 (867 download)
Download or read book Subharmonic functions written by Tibor Rado and published by . This book was released on 1949 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nachman Aronszajn
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 290 pages
Book Rating : 4.:/5 (44 download)
Download or read book Polyharmonic Functions written by Nachman Aronszajn and published by Oxford University Press, USA. This book was released on 1983 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir S. Azarin
Publisher : Birkhäuser
ISBN 13 : 9783764398774
Total Pages : 259 pages
Book Rating : 4.3/5 (987 download)
Download or read book Growth Theory of Subharmonic Functions written by Vladimir S. Azarin and published by Birkhäuser. This book was released on 2009-08-29 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book an account of the growth theory of subharmonic functions is given, which is directed towards its applications to entire functions of one and several complex variables. The presentation aims at converting the noble art of constructing an entire function with prescribed asymptotic behaviour to a handicraft. For this one should only construct the limit set that describes the asymptotic behaviour of the entire function. All necessary material is developed within the book, hence it will be most useful as a reference book for the construction of entire functions.
Author : T. Rado
Publisher : Springer Science & Business Media
ISBN 13 : 3642652360
Total Pages : 177 pages
Book Rating : 4.6/5 (426 download)
Download or read book On the Problem of Plateau / Subharmonic Functions written by T. Rado and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: A convex function f may be called sublinear in the following sense; if a linear function l is ::=: j at the boundary points of an interval, then l:> j in the interior of that interval also. If we replace the terms interval and linear junction by the terms domain and harmonic function, we obtain a statement which expresses the characteristic property of subharmonic functions of two or more variables. This ge neralization, formulated and developed by F. RIEsz, immediately at tracted the attention of many mathematicians, both on account of its intrinsic interest and on account of the wide range of its applications. If f (z) is an analytic function of the complex variable z = x + i y. then If (z) I is subharmonic. The potential of a negative mass-distribu tion is subharmonic. In differential geometry, surfaces of negative curvature and minimal surfaces can be characterized in terms of sub harmonic functions. The idea of a subharmonic function leads to significant applications and interpretations in the fields just referred to, and· conversely, every one of these fields is an apparently in exhaustible source of new theorems on subharmonic functions, either by analogy or by direct implication.
