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Nevalinna Theory and Complex Differential Equations : de Gruyter Studies in Mathematics - Ilpo Laine

Nevalinna Theory and Complex Differential Equations

de Gruyter Studies in Mathematics

Hardcover Published: 1992
ISBN: 9783110134223
Number Of Pages: 349
For Ages: 22+ years old

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The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Introductionp. 1
Results from function theoryp. 5
Nevanlinna theory of meromorphic functionsp. 18
Wiman-Valiron theoryp. 50
Linear differential equations: basic resultsp. 53
Linear differential equations: zero distribution in the second order casep. 74
Complex differential equations and the Schwarzian derivativep. 110
Higher order linear differential equationsp. 127
Non-homogeneous linear differential equationsp. 144
Basic non-linear differential equationsp. 165
The Malmquist-Yosida-Steinmetz type theoremsp. 192
First order algebraic differential equationsp. 221
Second order algebraic differential equationsp. 248
Algebraic differential equations of arbitrary orderp. 257
Algebraic differential equations and differential fieldsp. 285
Bibliographyp. 311
Indexp. 339
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783110134223
ISBN-10: 3110134225
Series: de Gruyter Studies in Mathematics
Audience: Professional
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 349
Published: 1992
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 2.06
Weight (kg): 0.67