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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...
Complexity of Creative Telescoping for Bivariate Rational Functions
Hermite reduction creative telescoping
2013/9/3
The long-term goal initiated in this work is to obtain fast algorithms and implementations for definite integration in Almkvist and Zeilberger’s framework of (differential) creative telescoping. Our c...