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cs.SC2017★ 2 cited
Bivariate Extensions of Abramov's Algorithm for Rational Summation
Shaoshi Chen
Abramov's algorithm enables us to decide whether a univariate rational function can be written as a difference of another rational function, which has been a fundamental algorithm…
cs.SC2017
Apparent Singularities of D-finite Systems
Shaoshi Chen, Manuel Kauers, Ziming Li +1
We generalize the notions of singularities and ordinary points from linear ordinary differential equations to D-finite systems. Ordinary points of a D-finite system are characteriz…