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ISSAC
2007
Springer
147views Mathematics» more  ISSAC 2007»
14 years 2 months ago
Differential equations for algebraic functions
It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their po...
Alin Bostan, Frédéric Chyzak, Bruno ...
ISSAC
2009
Springer
141views Mathematics» more  ISSAC 2009»
14 years 3 months ago
Algorithms for regular solutions of higher-order linear differential systems
We study systems of higher-order linear differential equations having a regular singularity at the origin. Using the properties of matrix polynomials, we develop efficient method...
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bach...
CASC
2007
Springer
114views Mathematics» more  CASC 2007»
14 years 15 days 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 8 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...
SIAMCO
2000
124views more  SIAMCO 2000»
13 years 8 months ago
A New Suboptimal Approach to the Filtering Problem for Bilinear Stochastic Differential Systems
The aim of this paper is to present a new approach to the filtering problem for the class of bilinear stochastic multivariable systems, consisting in searching for suboptimal state...
Francesco Carravetta, Alfredo Germani, Marat K. Sh...