Birkhoff matrices, residues and rigidity for q-difference equations

Julien Roques (1)

1 IF - Institut Fourier

We introduce and give numerical characterizations of two notions of rigidity for a class of regular singular q-difference equations. A special attention is devoted to the generalized q-hypergeometric equations: we show their rigidity and we proceed with a detailed “monodromic” study of these equations.

Domaines: Mathématiques [math]

Julien Roques. Birkhoff matrices, residues and rigidity for q-difference equations. Journal für die reine und angewandte Mathematik, 2015, 2015 (706). ⟨hal-01983167⟩