Bivariate Extensions of Abramov’s Algorithm for Rational Summation Dedicated to Professor Sergei A. Abramov on the occasion of his 70th birthday

نویسنده

  • Shaoshi Chen
چکیده

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 for rational summation. In 2014, Chen and Singer have generalized Abramov’s algorithm to the case of rational functions in two (q-)discrete variables. In this paper we solve the remaining three mixed cases, which completes our recent project on bivariate extensions of Abramov’s algorithm for rational summation.

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Bivariate Extensions of Abramov's Algorithm for Rational Summation

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 for rational summation. In 2014, Chen and Singer generalized Abramov’s algorithm to the case of rational functions in two (q-)discrete variables. In this paper we solve the remaining three mixed cases, which completes...

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تاریخ انتشار 2017