author = {Shaoshi Chen},
title = {{Some applications of differential-difference algebra to creative telescoping}},
language = {english},
abstract = {In this thesis, our contributions are as follows: First, we present a new method for rational-function telescoping based on Hermite reduction. Second, we generalized the Ore-Sato theorem for hypergeometric terms to hyperexponential-hypergeometric functions. Third, we described two existence criteria for telescopers in the continuous-discrete case. With those criteria , the termination of the continuous-discrete analogue of Zeilberger's algorithm is decided.},
year = {2011},
month = {February},
note = {This thesis is codirected by INRIA-Rocquencourt and Chinese Academy of Sciences},
translation = {0},
school = {Ecole Polytechnique (Paris)},
keywords = {Hermite reduction, creative telescoping, structure theorem, Zeilberger's algorithm, existence criteria},
length = {130},
url = {http://algo.inria.fr/chen/}