Abramov S.A., Petkovsek M. — Minimal decomposition of indefinite hypergeometric sums
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Название: Minimal decomposition of indefinite hypergeometric sums
Авторы: Abramov S.A., Petkovsek M.
Аннотация:
We present an algorithm which, given a hypergeometric term T(n), constructs hypergeometric terms T1(n) and T2(n) such that T(n) = T1(n+1) - T1(n) + T2(n), and T2 is minimal in some sense. This solves the decomposition problem for indefinite sums of hypergeometric terms: T1(n+1) - T1(n) is the "summable part" and T2(n) the :non-summable part" of T(n).
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