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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
AAECC
2006
Springer
90views Algorithms» more  AAECC 2006»
13 years 5 months ago
Apparent singularities of linear difference equations with polynomial coefficients
Sergei A. Abramov, Moulay A. Barkatou, Mark van Ho...
DM
2000
127views more  DM 2000»
13 years 5 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...
MOC
2010
13 years 5 days ago
On the convergence of Hill's method
Hill's method is a means to numerically approximate spectra of linear differential operators with periodic coefficients. In this paper, we address different issues related to...
Christopher W. Curtis, Bernard Deconinck