In this paper, we study the desingularization problem in the first q-Weyl algebra. We give an
order bound for desingularized operators, and thus derive an algorithm for computing …

It is well known that for a first order system of linear difference equations with rational
function coefficients, a solution that is holomorphic in some left half plane can be analytically …

We study a recently identified four-loop Feynman integral that contains a three-dimensional
Calabi-Yau geometry and contributes to the scattering of black holes in classical gravity at …

We give an approximate formula for the distribution of the largest eigenvalue of real Wishart
matrices by the expected Euler characteristic method for general dimension. The formula is …

D-finite functions satisfy linear differential equations with polynomial coefficients. The
solutions to this type of equations may have singularities determined by the zeros of their …

We study monodromy reduction of Fuchsian connections from a sheave theoretic viewpoint,
focusing on the case when a singularity of a special connection with four singularities has …

It is known for linear operators with polynomial coefficients annihilating a given D-finite
function that there is a trade-off between order and degree. Raising the order may give room …

В статьях СЮ Славянова и соавторов была разработана процедура, позволяющая
генерировать нелинейные интегрируемые уравнения Пенлеве из линейных …

Telescopers for a function are linear differential (resp. difference) operators annihilating the
definite integral (resp. definite sum) of this function. They play a key role in Wilf–Zeilberger …

This paper considers algebraic ordinary differential equations (AODEs) and study their
polynomial and rational solutions. The authors first prove a sufficient condition for the …