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
Summary
A comprehensive treatment of Painleve differential equations in the complex plane. Starting with a presentation for the meromorphic nature of their solutions, the Nevanlinna theory is applied to offer an exposition of growth aspects and value distribution of Painleve transcendents
Bibliography
Includes bibliographical references (pages 283-299) and index
