Explicit bounds for multidimensional linear recurrences with restricted coefficients
KS Berenhaut, JD Foley - Journal of Mathematical Analysis and …, 2006 - Elsevier
This note employs path counting techniques to extend recent results on bounds for odd
order linear recurrences to higher dimensions. The results imply optimal zero-free polydisks …
order linear recurrences to higher dimensions. The results imply optimal zero-free polydisks …
[HTML][HTML] Bounds for fourth-order [0, 1] difference equations
KS Berenhaut, BG Gibson, JH Newman… - … & Mathematics with …, 2007 - Elsevier
This note examines bounds for fourth-order linear difference equations with coefficients
restricted to the unit interval. It is shown that all solutions are of order strictly less than (3/2) n …
restricted to the unit interval. It is shown that all solutions are of order strictly less than (3/2) n …