A sufficient condition is derived for ultimate positivity of arbitrary-order P-recursive sequences with a unique dominant root, allowing positivity to be settled by finite initial-term verification, with concrete examples for orders exceeding two.
Straub, Positivity of Szeg¨ o’s rational function, Adv
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Positivity of arbitrary-order P-recursive sequences with a unique dominant root
A sufficient condition is derived for ultimate positivity of arbitrary-order P-recursive sequences with a unique dominant root, allowing positivity to be settled by finite initial-term verification, with concrete examples for orders exceeding two.