[PDF] Entire And Subharmonic Functions eBook

Author : Vladimir S. Azarin
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 37,61 MB
Release : 2008-10-20
Category : Mathematics
ISBN : 3764388854

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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
Page : 618 pages
File Size : 34,21 MB
Release : 2014-06-28
Category : Mathematics
ISBN : 1483296180

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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 The volume also includes some previously unpublished material.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 : Manfred Stoll
Publisher : Cambridge University Press
Page : 243 pages
File Size : 17,69 MB
Release : 2016-06-30
Category : Mathematics
ISBN : 1107541484

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A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.

Author : Juhani Riihentaus
Publisher : Bentham Science Publishers
Page : 152 pages
File Size : 40,24 MB
Release : 2021-05-20
Category : Mathematics
ISBN : 9811498687

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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 : Vladimir S. Azarin
Publisher : Birkhäuser
Page : 259 pages
File Size : 45,73 MB
Release : 2009-08-29
Category : Mathematics
ISBN : 9783764398774

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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
Page : 124 pages
File Size : 38,67 MB
Release : 2021-09-09
Category :
ISBN : 9781013998614

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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 : W. K. Hayman
Publisher : Academic Press
Page : 632 pages
File Size : 30,7 MB
Release : 1976
Category : Mathematics
ISBN :

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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.