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001 978-3-319-29000-3
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008 160628s2016 gw | s |||| 0|eng d
020 _a9783319290003
_9978-3-319-29000-3
024 7 _a10.1007/978-3-319-29000-3
_2doi
040 _aISI Library, Kolkata
050 4 _aQA292
050 4 _aQA295
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515.24
_223
100 1 _aDelabaere, Eric.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aDivergent Series, Summability and Resurgence III
_h[electronic resource] :
_bResurgent Methods and the First Painlevé Equation /
_cby Eric Delabaere.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXXII, 230 p. 35 illus., 14 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2155
505 0 _aAvant-Propos -- Preface to the three volumes -- Preface to this volume -- Some elements about ordinary differential equations -- The first Painlevé equation -- Tritruncated solutions for the first Painlevé equation -- A step beyond Borel-Laplace summability -- Transseries and formal integral for the first Painlevé equation -- Truncated solutions for the first Painlevé equation -- Supplements to resurgence theory -- Resurgent structure for the first Painlevé equation -- Index.
520 _aThe aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation. The resurgent analysis of singularities is pushed all the way up to the so-called “bridge equation”, which concentrates all information about the non-linear Stokes phenomenon at infinity of the First Painlevé equation. The third in a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists who are interested in divergent power series and related problems, such as the Stokes phenomenon. The prerequisites are a working knowledge of complex analysis at the first-year graduate level and of the theory of resurgence, as presented in volume 1. .
650 0 _aSequences (Mathematics).
650 0 _aDifferential Equations.
650 0 _aFunctions of complex variables.
650 0 _aFunctions, special.
650 1 4 _aSequences, Series, Summability.
_0http://scigraph.springernature.com/things/product-market-codes/M1218X
650 2 4 _aOrdinary Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12147
650 2 4 _aFunctions of a Complex Variable.
_0http://scigraph.springernature.com/things/product-market-codes/M12074
650 2 4 _aSpecial Functions.
_0http://scigraph.springernature.com/things/product-market-codes/M1221X
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319289991
776 0 8 _iPrinted edition:
_z9783319290010
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2155
856 4 0 _uhttps://doi.org/10.1007/978-3-319-29000-3
912 _aZDB-2-SMA
912 _aZDB-2-LNM
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c426666
_d426666