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100   $a20020729d2002      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aPainleve? differential equations in the complex plane$b[electronic resource] /$fValerii I. Gromak, Ilpo Laine, Shun Shimomura
205   $aReprint 2013
210   $aBerlin ;$aNew York $cWalter de Gruyter$dc2002
215   $a1 online resource (312 p.)
225 1 $aDe Gruyter studies in mathematics ;$v28
300   $aDescription based upon print version of record.
311   $a3-11-017379-4 
320   $aIncludes bibliographical references (p. [283]-299) and index.
327   $t Frontmatter -- $tContents -- $tChapter 1. Meromorphic nature of solutions -- $tChapter 2. Growth of Painlevé transcendents -- $tChapter 3. Value distribution of Painlevé transcendents -- $tChapter 4. The first Painlevé equation (P1) -- $tChapter 5. The second Painlevé equation (P2) -- $tChapter 6. The fourth Painlevé equation (P4) -- $tChapter 7. The third Painlevé equation (P3) -- $tChapter 8. The fifth Painlevé equation (P5) -- $tChapter 9. The sixth Painlevé equation (P6) -- $tChapter 10. Applications of Painlevé equations -- $tAppendix A. Local existence and uniqueness of solutions of complex differential equations -- $tAppendix B. Basic notations and facts in the Nevanlinna theory -- $t Backmatter
330   $aThis book is the first comprehensive treatment of Painleve? differential equations in the complex plane. Starting with a rigorous presentation for the meromorphic nature of their solutions, the Nevanlinna theory will be applied to offer a detailed exposition of growth aspects and value distribution of Painleve? transcendents. The subsequent main part of the book is devoted to topics of classical background such as representations and expansions of solutions, solutions of special type like rational and special transcendental solutions, Ba?cklund transformations and higher order analogues, treated
410  0$aGruyter studies in mathematics ;$v28.
606   $aPainleve? equations
606   $aFunctions of complex variables
608   $aElectronic books.
615  0$aPainleve? equations.
615  0$aFunctions of complex variables.
676   $a515/.352
686   $aSK 520$2rvk
700   $aGromak$b V. I$g(Valerii? Ivanovich)$01053009
701   $aLaine$b Ilpo$0451344
701   $aShimomura$b Shun$01053010
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910454626103321
996   $aPainleve? differential equations in the complex plane$92484635
997   $aUNINA