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- W3100402684 abstract "The Catalan-Larcombe-French sequence ${P_n}_{ngeq 0}$ arises in a series expansion of the complete elliptic integral of the first kind. It has been proved that the sequence is log-balanced. In the paper, by exploring a criterion due to Chen and Xia for testing 2-log-convexity of a sequence satisfying three-term recurrence relation, we prove that the new sequence ${P^2_n-P_{n-1}P_{n+1}}_{ngeq 1}$ are strictly log-convex and hence the Catalan-Larcombe-French sequence is strictly 2-log-convex." @default.
- W3100402684 created "2020-11-23" @default.
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- W3100402684 date "2015-12-01" @default.
- W3100402684 modified "2023-09-24" @default.
- W3100402684 title "Two-log-convexity of the Catalan-Larcombe-French sequence" @default.
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- W3100402684 doi "https://doi.org/10.1186/s13660-015-0920-0" @default.
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