Jacobsthal-Lucas series and their applications
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Jacobsthal-Lucas series and their applications
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| Creator |
Pratsiovytyi, M.
Karvatsky, D. |
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| Description |
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.
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| Date |
2019-06-18T18:21:25Z
2019-06-18T18:21:25Z 2017 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2010 MSC:11B83, 11B39, 60G50. http://dspace.nbuv.gov.ua/handle/123456789/156645 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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