Indefinite summation with unspecified summands
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Publication:2501544
DOI10.1016/j.disc.2006.04.005zbMath1157.05006OpenAlexW2102658840MaRDI QIDQ2501544
Carsten Schneider, Manuel Kauers
Publication date: 14 September 2006
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disc.2006.04.005
Related Items (13)
Combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers ⋮ Refined telescoping algorithms in RΠΣ -extensions to reduce the degrees of the denominators✱ ⋮ Representation of hypergeometric products of higher nesting depths in difference rings ⋮ A symbolic summation approach to Feynman integral calculus ⋮ Summation theory. II: Characterizations of \(R {\Pi}{\Sigma}^{\ast}\)-extensions and algorithmic aspects ⋮ A refined difference field theory for symbolic summation ⋮ A difference ring theory for symbolic summation ⋮ Rational solutions of ordinary difference equations ⋮ Structural theorems for symbolic summation ⋮ SIMPLIFYING SUMS IN ΠΣ*-EXTENSIONS ⋮ On rational and hypergeometric solutions of linear ordinary difference equations in \(\Pi\Sigma^\ast\)-field extensions ⋮ Rational solutions of first-order algebraic ordinary difference equations ⋮ Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation
Uses Software
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