
Painlevé Differential Equations in the Complex Plane : Painlevé Differential Equations in the Complex Plane.
Title:
Painlevé Differential Equations in the Complex Plane : Painlevé Differential Equations in the Complex Plane.
Author:
Gromak, Valerii I.
ISBN:
9783110198096
Personal Author:
Physical Description:
1 online resource (311 pages)
Series:
De Gruyter Studies in Mathematics ; v.28
De Gruyter Studies in Mathematics
Contents:
de Gruyter Studies in Mathematics -- Preface -- Contents -- Introduction -- Chapter 1Meromorphic nature of solutions -- Chapter 2Growth of Painlevé transcendents -- Chapter 3Value distribution of Painlevé transcendents -- Chapter 4The first Painlevé equation (P1) -- Chapter 5The second Painlevé equation (P2) -- Chapter 6The fourth Painlevé equation (P4) -- Chapter 7The third Painlevé equation (P3) -- Chapter 8The fifth Painlevé equation (P5) -- Chapter 9The sixth Painlevé equation (P6) -- Chapter 10Applications of Painlevé equations -- Appendix ALocal existence and uniqueness of solutions of complexdifferential equations -- Appendix BBasic notations and facts in the Nevanlinna theory -- Bibliography -- Index.
Abstract:
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.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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Electronic Access:
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