Geodesic
On the log-concavity of the hyperfibonacci numbers and the hyperlucas numbers
Journal of integer sequences, Tome 17 (2014) no. 1.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we discuss the properties of the hyperfibonacci numbers $F\_{n}$^[] and hyperlucas numbers _^[r]. We investigate the log-concavity (log-convexity) of hyperfibonacci numbers and hyperlucas numbers. For example, we prove that ${F\_{n}^$[r]_n ge1 is log-concave. In addition, we also study the log-concavity (log-convexity) of generalized hyperfibonacci numbers and hyperlucas numbers.
Keywords: log-convexity, log-concavity, Fibonacci number, Lucas number 
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     author = {Zheng, Li-Na and Liu, Rui and Zhao, Feng-Zhen},
     title = {On the log-concavity of the hyperfibonacci numbers and the hyperlucas numbers},
     journal = {Journal of integer sequences},
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     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_1_a5/}
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Zheng, Li-Na; Liu, Rui; Zhao, Feng-Zhen. On the log-concavity of the hyperfibonacci numbers and the hyperlucas numbers. Journal of integer sequences, Tome 17 (2014) no. 1. http://geodesic.mathdoc.fr/item/JIS_2014__17_1_a5/