2008/03/01 by S. P. Polyakov · 1 citation
Computer Science · #Advanced Computational Techniques in Science and Engineering #Mathematical Control Systems and Analysis
paper · doi:10.1134/s0361768808020060
openalex publication_date 2008/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
An algorithm of indefinite summation of rational functions is proposed. For a given function f ( x ), it constructs a pair of rational functions g ( x ) and r ( x ) such that f ( x ) = g ( x + 1) − g ( x ) + r ( x ), where the degree of the denominator of r ( x ) is minimal, and, when this condition is satisfied, the degree of the denominator of g ( x ) is also minimal.