Jacobsthal-Lucas series and their applications

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/4582

Title:	Jacobsthal-Lucas series and their applications
Authors:	Pratsiovytyi, M. Karvatsky, D.
Keywords:	Jacobsthal-Lucas sequence the set of incomplete sums singular random variable Hausdorff-Besicovitch dimension
Issue Date:	2017
Publisher:	ДЗ"ЛНУ імені Тараса Шевченко"
Series/Report no.:	Математичні науки;
Abstract:	In this paper we study the properties of positive series such that its terms are reciprocals of the elements of Jacobsthal-Lucas sequence (Jn+2 = 2Jn+1 + Jn, J1 = 2, J2 = 1). 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.
Description:	Pratsiovytyi M. Jacobsthal-Lucas series and their applications / M.Pratsiovytyi, D.Karvatsky // Algebra and Discrete Mathematics. - 2017. - Vol. 24. - Number 1. - Рp. 169-180
URI:	http://hdl.handle.net/123456789/4582
Appears in Collections:	Algebra and Discrete Mathematics. - № 1 (24). - 2017

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