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On the Structure of Compatible Rational Functions
Compatibility conditions compatible rational functions hyperexponential function (q-)hypergeometric term
2013/9/3
A finite number of rational functions are compatible if they satisfy the compatibility conditions of a first-order linear functional system involving differential, shift and q-shift operators. We pres...
On rational solutions of multicomponent and matrix KP hierarchies
On rational solutions multicomponent matrix KP hierarchies
2010/11/10
We derive some rational solutions for the multicomponent and matrix KP hierarchies generalising an approach by Wilson. Connections with the multicomponent version of the KP/CM correspondence are discu...
Submersive Rational Difference Systems and Their Accessibility
rational difference system submersivity accessibility reflexive ideal inversive closure transfer function
2013/9/3
The paper describes an algebraic construction of the inversive difference field associated with a discrete-time rational nonlinear control system under the assumption that the system is submersive. We...
Rational quadratic approximation to real algebraic curves
Real algebraic curve Parametrization Approximation Topology determination
2013/9/9
An algorithm is proposed to give a global approximation of an implicit real plane algebraic curve with rational quadratic B-spline curves. The algorithm consists of four steps: topology determination,...
Differential Rational Normal Forms and a Reduction Algorithm for Hyperexponential Functions
Normal forms Rational functions Hyperexponential functions Reduction algorithms
2013/9/3
We describe di®erential rational normal forms of a rational function and their properties. Based on these normal forms, we present an algorithm which, given a hyperexponential function T (x), con...