On the Summability of Bivariate Rational Functions

2012/10/23 by Shaoshi Chen, Chen, Shaoshi, Michael F. Singer +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Identities #Mathematical functions and polynomials #Polynomial and algebraic computation #cs.SC #math.CO

paper · pdf · doi:10.48550/arxiv.1210.6366

24 pages

arxiv created 2012/10/23 · arxiv updated 2012/10/25

Abstract

We present criteria for deciding whether a bivariate rational function in two variables can be written as a sum of two (q-)differences of bivariate rational functions. Using these criteria, we show how certain double sums can be evaluated, first, in terms of single sums and, finally, in terms of values of special functions.

Cited by

• On the Summability Problem of Multivariate Rational Functions in the Mixed Case

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