Computing differential Galois groups of second-order linear q-difference equations
نویسندگان
چکیده
We apply the differential Galois theory for difference equations developed by Hardouin and Singer to compute group a second-order linear q-difference equation with rational function coefficients. This encodes possible polynomial relations among solutions of equation. our results groups several concrete equations, including colored Jones certain knot.
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2022
ISSN: ['1090-2074', '0196-8858']
DOI: https://doi.org/10.1016/j.aam.2021.102273