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The Resource Nevanlinna Theory, Normal Families, and Algebraic Differential Equations, by Norbert Steinmetz, (electronic resource)

Nevanlinna Theory, Normal Families, and Algebraic Differential Equations, by Norbert Steinmetz, (electronic resource)

Label
Nevanlinna Theory, Normal Families, and Algebraic Differential Equations
Title
Nevanlinna Theory, Normal Families, and Algebraic Differential Equations
Statement of responsibility
by Norbert Steinmetz
Creator
Subject
Language
eng
Summary
This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations. Following a comprehensive treatment of Nevanlinna’s theory of value distribution, the author presents advances made since Hayman’s work on the value distribution of differential polynomials and illustrates how value- and pair-sharing problems are linked to algebraic curves and Briot–Bouquet differential equations. In addition to discussing classical applications of Nevanlinna theory, the book outlines state-of-the-art research, such as the effect of the Yosida and Zalcman–Pang method of re-scaling to algebraic differential equations, and presents the Painlevé–Yosida theorem, which relates Painlevé transcendents and solutions to selected 2D Hamiltonian systems to certain Yosida classes of meromorphic functions. Aimed at graduate students interested in recent developments in the field and researchers working on related problems,Nevanlinna Theory, Normal Families, and Algebraic Differential Equations will also be of interest to complex analysts looking for an introduction to various topics in the subject area. With examples, exercises and proofs seamlessly intertwined with the body of the text, this book is particularly suitable for the more advanced reader.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Steinmetz, Norbert
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Springer eBooks
  • Universitext,
http://library.link/vocab/subjectName
  • Mathematics
  • Difference equations
  • Functional equations
  • Functions of complex variables
  • Differential equations
Label
Nevanlinna Theory, Normal Families, and Algebraic Differential Equations, by Norbert Steinmetz, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-59800-0
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction and preface -- Selected Topics in Complex Analysis -- Nevanlinna Theory -- Selected Applications of Nevanlinna Theory -- Normal Families -- Algebraic Differential Equations -- Higher-Order Algebraic Differential Equations -- Index
Control code
978-3-319-59800-0
Dimensions
unknown
Extent
1 online resource (XVIII, 235 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319598000
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-59800-0
Other physical details
8 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)999594852
Label
Nevanlinna Theory, Normal Families, and Algebraic Differential Equations, by Norbert Steinmetz, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-59800-0
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction and preface -- Selected Topics in Complex Analysis -- Nevanlinna Theory -- Selected Applications of Nevanlinna Theory -- Normal Families -- Algebraic Differential Equations -- Higher-Order Algebraic Differential Equations -- Index
Control code
978-3-319-59800-0
Dimensions
unknown
Extent
1 online resource (XVIII, 235 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319598000
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-59800-0
Other physical details
8 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)999594852

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