Positivity of arbitrary-order P-recursive sequences with a unique dominant root

Published 16 May 2026 in math.CO | (2605.17013v1)

Abstract: We establish a sufficient condition for the ultimate positivity of P-recursive sequences of arbitrary order with a unique dominant root. By additionally verifying finitely many initial terms, the positivity can also be resolved. As an application, we provide several examples of P-recursive sequences of order greater than two.

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Zhongjie Li

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