Nevanlinna Theory, Normal Families, and Algebraic Differential Equations
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The work Nevanlinna Theory, Normal Families, and Algebraic Differential Equations represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Nevanlinna Theory, Normal Families, and Algebraic Differential Equations
Resource Information
The work Nevanlinna Theory, Normal Families, and Algebraic Differential Equations represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Nevanlinna Theory, Normal Families, and Algebraic Differential Equations
 Statement of responsibility
 by Norbert Steinmetz
 Subject

 Functions of a Complex Variable
 Differential equations
 Differential equations
 Ordinary Differential Equations
 Functional equations
 Functional equations
 Electronic resources
 Functions of complex variables
 Mathematics
 Functions of complex variables
 Difference equations
 Mathematics
 Difference and Functional Equations
 Difference equations
 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 pairsharing problems are linked to algebraic curves and Briot–Bouquet differential equations. In addition to discussing classical applications of Nevanlinna theory, the book outlines stateoftheart research, such as the effect of the Yosida and Zalcman–Pang method of rescaling 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
 Image bit depth
 0
 LC call number
 QA331355
 Literary form
 non fiction
 Series statement
 Universitext,
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