Jacobsthal-Lucas series and their applications

dc.contributor.author	Pratsiovytyi, M.
dc.contributor.author	Karvatsky, D.
dc.date.accessioned	2019-06-18T18:21:25Z
dc.date.available	2019-06-18T18:21:25Z
dc.date.issued	2017
dc.identifier.citation	Jacobsthal-Lucas series and their applications / M. Pratsiovytyi, D. Karvatsky // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 169-180. — Бібліогр.: 8 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:11B83, 11B39, 60G50.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/156645
dc.description.abstract	In this paper we study the properties of positive series such that its terms are reciprocals of the elements of Jacobsthal-Lucas sequence. In particular, we consider the properties of the set of incomplete sums as well as their applications. We prove that the set of incomplete sums of this series is a nowhere dense set of positive Lebesgue measure. Also we study singular random variables of Cantor type related to Jacobsthal-Lucas sequence.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Jacobsthal-Lucas series and their applications	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA