| 000 | 02844nam a22004935i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-48594-0 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151036.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1994 gw | s |||| 0|eng d | ||
| 020 |
_a9783540485940 _9978-3-540-48594-0 |
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| 024 | 7 |
_a10.1007/BFb0073564 _2doi |
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| 050 | 4 | _aQA331-355 | |
| 072 | 7 |
_aPBKD _2bicssc |
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_aMAT034000 _2bisacsh |
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| 072 | 7 |
_aPBKD _2thema |
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| 082 | 0 | 4 |
_a515.9 _223 |
| 100 | 1 |
_aBalser, Werner. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aFrom Divergent Power Series to Analytic Functions _h[electronic resource] : _bTheory and Application of Multisummable Power Series / _cby Werner Balser. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1994. |
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| 300 |
_aX, 114 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1582 |
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| 505 | 0 | _aAsymptotic power series -- Laplace and borel transforms -- Summable power series -- Cauchy-Heine transform -- Acceleration operators -- Multisummable power series -- Some equivalent definitions of multisummability -- Formal solutions to non-linear ODE. | |
| 520 | _aMultisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummabi- lity, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. It will be of use to graduate students and researchers in mathematics and theoretical physics, and especially to those who encounter formal power series to (physical) equations with rapidly, but regularly, growing coefficients. | ||
| 650 | 0 | _aFunctions of complex variables. | |
| 650 | 0 | _aGlobal analysis (Mathematics). | |
| 650 | 1 | 4 |
_aFunctions of a Complex Variable. _0http://scigraph.springernature.com/things/product-market-codes/M12074 |
| 650 | 2 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
| 650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662187739 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540582687 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1582 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0073564 |
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| 912 | _aZDB-2-LNM | ||
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