Jakob Ablinger | DeepAI

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Featured Co-authors

Carsten Schneider
25 publications
Ali K. Uncu
5 publications
Johannes Bluemlein
4 publications
Abilio de Freitas
2 publications
Arnd Behring
1 publication

∙ 02/05/2021

Solving linear difference equations with coefficients in rings with idempotent representations

We introduce a general reduction strategy that enables one to search for...

0 Jakob Ablinger, et al. ∙

∙ 01/27/2021

Extensions of the AZ-algorithm and the Package MultiIntegrate

We extend the (continuous) multivariate Almkvist-Zeilberger algorithm in...

0 Jakob Ablinger, et al. ∙

∙ 10/28/2019

qFunctions – A Mathematica package for q-series and partition theory applications

We describe the qFunctions Mathematica package for q-series and partitio...

0 Jakob Ablinger, et al. ∙

∙ 08/19/2019

Proving two conjectural series for ζ(7) and discovering more series for ζ(7)

We give a proof of two identities involving binomial sums at infinity co...

0 Jakob Ablinger, et al. ∙

∙ 02/28/2019

Discovering and Proving Infinite Pochhammer Sum Identities

We consider nested sums involving the Pochhammer symbol at infinity and ...

0 Jakob Ablinger, et al. ∙

∙ 01/02/2018

Computing the Inverse Mellin Transform of Holonomic Sequences using Kovacic's Algorithm

We describe how the extension of a solver for linear differential equati...

0 Jakob Ablinger, et al. ∙

∙ 08/18/2016

Algorithms to solve coupled systems of differential equations in terms of power series

Using integration by parts relations, Feynman integrals can be represent...

0 Jakob Ablinger, et al. ∙

∙ 06/09/2016

Inverse Mellin Transform of Holonomic Sequences

We describe a method to compute the inverse Mellin transform of holonomi...

0 Jakob Ablinger, et al. ∙

∙ 01/08/2016

A toolbox to solve coupled systems of differential and difference equations

We present algorithms to solve coupled systems of linear differential eq...

0 Jakob Ablinger, et al. ∙

∙ 10/13/2015

Algebraic independence of sequences generated by (cyclotomic) harmonic sums

An expression in terms of (cyclotomic) harmonic sums can be simplified b...

0 Jakob Ablinger, et al. ∙

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