101 citations · 629 across the 59 of their papers we have counts for
59 papers
Yay for Determinants!
Tewodros Amdeberhan, Christoph Koutschan, Doron Zeilberger
In this {\it case study}, we hope to show why Sheldon Axler was not just wrong, but {\em wrong}, when he urged, in 1995: ``Down with Determinants!''. We first recall how determinan…
Representing Piecewise Linear Functions by Functions with Small Arity
Christoph Koutschan, Bernhard Moser, Anton Ponomarchuk +1
A piecewise linear function can be described in different forms: as an arbitrarily nested expression of - and -functions, as a difference of two convex piecewise linear…
Some D-finite and Some Possibly D-finite Sequences in the OEIS
Manuel Kauers, Christoph Koutschan
In an automatic search, we found conjectural recurrences for some sequences in the OEIS that were not previously recognized as being D-finite. In some cases, we are able to prove t…
On Potentials Integrated by the Nikiforov-Uvarov Method
Lina Ellis, Ikumi Ellis, Christoph Koutschan +1
We discuss basic potentials of the nonrelativistic and relativistic quantum mechanics that can be integrated in the Nikiforov and Uvarov paradigm with the aid of a computer algebra…
Transcendence Certificates for D-finite Functions
Manuel Kauers, Christoph Koutschan, Thibaut Verron
Although in theory we can decide whether a given D-finite function is transcendental, transcendence proofs remain a challenge in practice. Typically, transcendence is certified by…
A Unified Approach to Unimodality of Gaussian Polynomials
Christoph Koutschan, Ali K. Uncu, Elaine Wong
In 2013, Pak and Panova proved the strict unimodality property of -binomial coefficients (as polynomials in ) based on the combinatorics of Young tablea…