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MARC 21

From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series
Tag	Description
020	$a9783540485940
082	$a515.9
099	$aOnline resource: Springer
100	$aBalser, Werner$d1946-
245	$aFrom Divergent Power Series to Analytic Functions$h[EBook]$bTheory and Application of Multisummable Power Series$cby Werner Balser.
260	$aBerlin, Heidelberg$bSpringer$c1994.
300	$aX, 114 pages$bonline resource.
336	$atext
338	$aonline resource
440	$aLecture Notes in Mathematics,$x0075-8434 ;$v1582
505	$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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
710	$aSpringerLink (Online service)
830	$aLecture Notes in Mathematics,$v1582
856	$uhttp://dx.doi.org/10.1007/BFb0073564