Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation

DOI10.1142/S0219199716500565zbMath1384.65091arXiv1606.07109WikidataQ47037071 ScholiaQ47037071MaRDI QIDQ5370480

Carlos E. Arreche

Publication date: 20 October 2017

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07109

zbMATH Keywords

numerical exampledifferential-algebraic equationsdifference equationsdifferential equationsrational functionsRiccati equationdifference Galois theorydifference-differential Galois theoryHendriks' algorithmsecond-order homogeneous linear difference equations

Mathematics Subject Classification ID

Additive difference equations (39A10) Numerical methods for differential-algebraic equations (65L80) Differential algebra (12H05) Other matrix groups over fields (20H20) Difference algebra (12H10) Linear difference equations (39A06) Numerical methods for difference equations (65Q10)

Related Items (4)

Computing differential Galois groups of second-order linear \(q\)-difference equations ⋮ Almost-simple affine difference algebraic groups ⋮ Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions ⋮ Consistent systems of linear differential and difference equations

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