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Hermite Reduction and Creative Telescoping for Hyperexponential Functions
Hermite reduction Hyperexponential function Telescoper
2013/9/3
We present a new reduction algorithm that simultaneously extends Hermite's reduction for rational functions and the Hermite-like reduction for hyperexponential functions. It yields a unique additive d...
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...