eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2018-06-25 6 3 107 110 10.12691/tjant-6-3-8 TJANT2018638 article The Log-concavity Property Associated to Hyperjacobsthal and Hyperjacobsthal-Lucas Sequences Moussa Ahmia ahmiamoussa@email.com 1 Hacène Belbachir 2 Department of Mathematic, University of Mohamed Seddik Ben yahia, Jijel, Algeria Faculty of Mathematics, University of Sciences and Technology Houari Boumediene, Algiers, Algeria In this paper, we show the log-concavity properties for the hyperjacobsthal, hyperjacobsthal-Lucas and associated sequences. Further, we investigate the -log-concavity property. http://pubs.sciepub.com/tjant/6/3/8/tjant-6-3-8.pdf Hyperjacobsthal numbers hyperjacobsthal-Lucas numbers log-concavity -log-concavity