Painlevé III : a case study in the geometry of Meromorphic connections /: a case study in the geometry of Meromorphic connections. (2017)

• Record Type: Book
• Further Information: Note: Martin A. Guest, Claus Hertling.
• Authors: Guest, Martin A; Hertling, Claus
• Contents: 1. Introduction -- 2.- The Riemann-Hilbert correspondence for P3D6 bundles -- 3. (Ir)Reducibility -- 4. Isomonodromic families -- 5. Useful formulae: three 2 × 2 matrices -- 6. P3D6-TEP bundles -- 7. P3D6-TEJPA bundles and moduli spaces of their monodromy tuples -- 8. Normal forms of P3D6-TEJPA bundles and their moduli spaces -- 9. Generalities on the Painlevé equations -- 10. Solutions of the Painlevé equation PIII (0, 0, 4, −4) -- 13. Comparison with the setting of Its, Novokshenov, and Niles -- 12. Asymptotics of all solutions near 0 -- ...Bibliography. Index.
• Publisher Details: Cham : Springer
• Publication Date: 2017
• Extent: 1 online resource (xii, 204 pages), illustrations
• Subjects: 515/.355; Mathematics; Painlevé equations; Differential Equations; Geometry, algebraic; Functions, special; Functions of complex variables; Painlevé equations; Mathematics -- Geometry -- Algebraic; Mathematics -- Mathematical Analysis; Algebraic geometry; Functional analysis & transforms; Complex analysis, complex variables; Mathematics -- Differential Equations; Differential calculus & equations; Electronic books
• Languages: English
• ISBNs: 9783319665269; 3319665251; 9783319665252
• Related ISBNs: 331966526X; 9783319665252
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed October 23, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.