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Positivity problem of three-term recurrence sequences
Published 5 Jan 2023 in math.CO | (2301.02054v1)
Abstract: We present some necessary and/or sufficient conditions for the positivity problem of three-term recurrence sequences. As applications we show the positivity of diagonal Taylor coefficients of some rational functions in a unified approach. We also establish a criterion for the positivity and log-convexity of such sequences.
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