101 citations · 629 across the 59 of their papers we have counts for
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Reduction-Based Creative Telescoping for Fuchsian D-finite Functions
Shaoshi Chen, Mark van Hoeij, Manuel Kauers +1
Continuing a series of articles in the past few years on creative telescoping using reductions, we adapt Trager's Hermite reduction for algebraic functions to fuchsian D-finite fun…
Lattice Green Functions: the d-dimensional face-centred cubic lattice, d=8, 9, 10, 11, 12
S. Hassani, C. Koutschan, J-M. Maillard +1
We previously reported on a recursive method to generate the expansion of the lattice Green function of the -dimensional face-centred cubic lattice (fcc). The method was used to…
Inverse Inequality Estimates with Symbolic Computation
Christoph Koutschan, Martin Neumüller, Cristian-Silviu Radu
In the convergence analysis of numerical methods for solving partial differential equations (such as finite element methods) one arrives at certain generalized eigenvalue problems,…
Holonomic Tools for Basic Hypergeometric Functions
Christoph Koutschan, Peter Paule
With the exception of q-hypergeometric summation, the use of computer algebra packages implementing Zeilberger's "holonomic systems approach" in a broader mathematical sense is les…
Reduction-Based Creative Telescoping for Algebraic Functions
Shaoshi Chen, Manuel Kauers, Christoph Koutschan
Continuing a series of articles in the past few years on creative telescoping using reductions, we develop a new algorithm to construct minimal telescopers for algebraic functions.…