Painlevé III: A Case Study in the Geometry of Meromorphic Connections

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Guest, Martin A. Painlevé III: A Case Study in the Geometry of Meromorphic Connections by Martin A. Guest, Claus Hertling. -
XII, 204 p. 12 illus. online resource. - (Lecture Notes in Mathematics, 2198) Content notes : 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 Painleve´ equations -- 10. Solutions of the Painleve´ 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. 9783319665269 * Differential Equations. Geometry, algebraic. Functions, special. Functions of complex variables. Ordinary Differential Equations. Algebraic Geometry. Special Functions. Functions of a Complex Variable. * Hertling, Claus., aut, http://id.loc.gov/vocabulary/relators/aut * Title * Series