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• W2613507977 abstract "We consider systems Al(t) y(ql t) + ... + A0(t) y(t) = b(t) of higher order q-recurrence equations with rational coefficients. We extend a method for finding a bound on the maximal power of t in the denominator of arbitrary rational solutions y(t) as well as a method for bounding the degree of polynomial solutions from the scalar case to the systems case. The approach is direct and does not rely on uncoupling or reduction to a first order system. Unlike in the scalar case this usually requires an initial transformation of the system." @default.
• W2613507977 created "2017-05-19" @default.
• W2613507977 creator A5089613172 @default.
• W2613507977 date "2017-07-23" @default.
• W2613507977 modified "2023-10-18" @default.
• W2613507977 title "Denominator Bounds and Polynomial Solutions for Systems of q-Recurrences over K(t) for Constant K" @default.
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• W2613507977 doi "https://doi.org/10.1145/3087604.3087619" @default.
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