Telescopers for rational and algebraic functions via residues
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Publication:5244526
DOI10.1145/2442829.2442851zbMath1323.68592arXiv1201.1954OpenAlexW2145236745MaRDI QIDQ5244526
Michael F. Singer, Shaoshi Chen, Manuel Kauers
Publication date: 27 March 2015
Published in: Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1201.1954
Symbolic computation and algebraic computation (68W30) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)
Related Items (15)
Comments on Risch’s On the Integration of Elementary Functions which are Built Up Using Algebraic Operations ⋮ Comments on Integration of Algebraic Functions ⋮ On the computation of the parameterized differential Galois group for a second-order linear differential equation with differential parameters ⋮ Iterated binomial sums and their associated iterated integrals ⋮ On the summability of bivariate rational functions ⋮ Computation of the unipotent radical of the differential Galois group for a parameterized second-order linear differential equation ⋮ Residues and telescopers for bivariate rational functions ⋮ DIFFERENCE ALGEBRAIC RELATIONS AMONG SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS ⋮ Isomonodromic differential equations and differential categories ⋮ On the existence of telescopers for mixed hypergeometric terms ⋮ On the existence of telescopers for rational functions in three variables ⋮ Computing periods of rational integrals ⋮ Creative Telescoping for Holonomic Functions ⋮ Linear differential equations as a data structure ⋮ Diagonals of rational functions, pullbacked $\boldsymbol{_2F_1}$ hypergeometric functions and modular forms
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