03597nam 22007334a 450 991045462610332120200520144314.01-282-19434-897866121943443-11-019809-610.1515/9783110198096(CKB)1000000000688549(EBL)314057(OCoLC)270933131(SSID)ssj0000217517(PQKBManifestationID)11198558(PQKBTitleCode)TC0000217517(PQKBWorkID)10202855(PQKB)11314695(MiAaPQ)EBC314057(DE-B1597)32328(OCoLC)979761462(DE-B1597)9783110198096(PPN)175563764sudoc(PPN)140490396(Au-PeEL)EBL314057(CaPaEBR)ebr10194843(CaONFJC)MIL219434(OCoLC)935264337(EXLCZ)99100000000068854920020729d2002 uy 0engur|n|---|||||txtccrPainlevé differential equations in the complex plane[electronic resource] /Valerii I. Gromak, Ilpo Laine, Shun ShimomuraReprint 2013Berlin ;New York Walter de Gruyterc20021 online resource (312 p.)De Gruyter studies in mathematics ;28Description based upon print version of record.3-11-017379-4 Includes bibliographical references (p. [283]-299) and index. Frontmatter -- Contents -- Chapter 1. Meromorphic nature of solutions -- Chapter 2. Growth of Painlevé transcendents -- Chapter 3. Value distribution of Painlevé transcendents -- Chapter 4. The first Painlevé equation (P1) -- Chapter 5. The second Painlevé equation (P2) -- Chapter 6. The fourth Painlevé equation (P4) -- Chapter 7. The third Painlevé equation (P3) -- Chapter 8. The fifth Painlevé equation (P5) -- Chapter 9. The sixth Painlevé equation (P6) -- Chapter 10. Applications of Painlevé equations -- Appendix A. Local existence and uniqueness of solutions of complex differential equations -- Appendix B. Basic notations and facts in the Nevanlinna theory -- BackmatterThis book is the first comprehensive treatment of Painlevé differential equations in the complex plane. Starting with a rigorous presentation for the meromorphic nature of their solutions, the Nevanlinna theory will be applied to offer a detailed exposition of growth aspects and value distribution of Painlevé transcendents. The subsequent main part of the book is devoted to topics of classical background such as representations and expansions of solutions, solutions of special type like rational and special transcendental solutions, Bäcklund transformations and higher order analogues, treatedGruyter studies in mathematics ;28.Painlevé equationsFunctions of complex variablesElectronic books.Painlevé equations.Functions of complex variables.515/.352SK 520rvkGromak V. I(Valeriĭ Ivanovich)1053009Laine Ilpo451344Shimomura Shun1053010MiAaPQMiAaPQMiAaPQBOOK9910454626103321Painlevé differential equations in the complex plane2484635UNINA01775nam0 22003853i 450 VAN0026408520240806101514.201N978354039764920230929d1986 |0itac50 baengDE|||| |||||Valuations of Skew Fields and Projective Hjelmslev SpacesKarl MathiakBerlinSpringer1986viii, 120 p.24 cm001VAN001022502001 Lecture notes in mathematics210 Berlin [etc.]Springer117512-XXField theory and polynomials [MSC 2020]VANC019746MF12E15Skew fields, division rings [MSC 2020]VANC022153MF12J20General valuation theory for fields [MSC 2020]VANC022095MF16KxxDivision rings and semisimple Artin rings [MSC 2020]VANC022015MF51CxxRing geometry (Hjelmslev, Barbilian, etc.) [MSC 2020]VANC028894MFApproximationKW:KBoundary Element MethodsKW:KVector spacesKW:KBerlinVANL000066MathiakKarlVANV21810755909Springer <editore>VANV108073650ITSOL20241115RICAhttps://doi.org/10.1007/BFb0074653E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN00264085BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08DLOAD e-book 6846 08eMF6846 20231003 Valuations of skew fields and projective Hjelmslev spaces78488UNICAMPANIA