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Catalogue Information
Field name	Details
Dewey Class	515.9
Title	From Divergent Power Series to Analytic Functions ([EBook]) : Theory and Application of Multisummable Power Series / by Werner Balser.
Author	Balser, Werner , 1946-
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1994.
Physical Details	X, 114 pages : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1582
ISBN	9783540485940
Summary Note	Multisummability 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.:
Contents note	Asymptotic 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0073564
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Functions of a Complex Variable . Functions of complex variables . Mathematical analysis . Mathematics . Physics . Theoretical, Mathematical and Computational Physics . Authors: Balser, Werner 1946- . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515.9 .

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From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series

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