76 citations · 382 across the 37 of their papers we have counts for
40 papers
On deciding transcendence of power series
Alin Bostan, Bruno Salvy, Michael F. Singer
It is well known that algebraic power series are differentially finite (D-finite): they satisfy linear differential equations with polynomial coefficients. The converse problem---d…
Separability Problems in Creative Telescoping
Shaoshi Chen, Ruyong Feng, Pingchuan Ma +1
For given multivariate functions specified by algebraic, differential or difference equations, the separability problem is to decide whether they satisfy linear differential or dif…
Telescopers for differential forms with one parameter
Shaoshi Chen, Ruyong Feng, Ziming Li +2
Telescopers for a function are linear differential (resp. difference) operators annihilated by the definite integral (resp. definite sum) of this function. They play a key role in…
On the algebraic dependence of holonomic functions
Julien Roques, Michael F. Singer
We study the form of possible algebraic relations between functions satisfying linear differential equations. In particular , if f and g satisfy linear differential equations and a…
On Differentially Algebraic Generating Series for Walks in the Quarter Plane
Charlotte Hardouin, Michael F Singer
We refine necessary and sufficient conditions for the generating series of a weighted model of a quarter plane walk to be differentially algebraic. In addition, we give algorithms…
Gravitational Instantons as Superpositions of Atiyah-Hitchin and Taub-NUT Geometries
Bernd Schroers, Michael Singer
We obtain ALF gravitational instantons by a gluing construction which captures, in a precise and explicit fashion, their interpretation as non-linear superpositions of the mo…