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» Special formal series solutions of linear operator equations
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DM
2000
127views more  DM 2000»
13 years 4 months ago
Special formal series solutions of linear operator equations
The transformation which assigns to a linear operator L the recurrence satisfied by coefficient sequences of the polynomial series in its kernel, is shown to be an isomorphism of ...
Sergei A. Abramov, Marko Petkovsek, Anna A. Ryaben...
CASC
2007
Springer
114views Mathematics» more  CASC 2007»
13 years 9 months ago
Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation
We consider summation of consecutive values (v), (v +1), . . . , (w) of a meromorphic function (z) where v, w ZZ. We assume that (z) satisfies a linear difference equation L(y) = ...
Sergei A. Abramov, Marko Petkovsek
CORR
2006
Springer
101views Education» more  CORR 2006»
13 years 5 months ago
Fast computation of power series solutions of systems of differential equations
We propose algorithms for the computation of the first N terms of a vector (or a full basis) of power series solutions of a linear system of differential equations at an ordinary ...
Alin Bostan, Frédéric Chyzak, Fran&c...
PCS
2011
12 years 12 months ago
The parametric solution of underdetermined linear ODEs
The purpose of this paper is twofold. An immediate practical use of the presented algorithm is its applicability to the parametric solution of underdetermined linear ordinary diļ¬...
Thomas Wolf