MERSENNE-LUCAS HYBRID NUMBERS

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Özkan E., Uysal M.

MATHEMATICA MONTISNIGRI, vol.52, pp.17-29, 2021 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 52
• Publication Date: 2021
• Doi Number: 10.20948/mathmontis-2021-52-2
• Journal Name: MATHEMATICA MONTISNIGRI
• Journal Indexes: MathSciNet, zbMATH
• Page Numbers: pp.17-29
• Open Archive Collection: AVESIS Open Access Collection
• Erzincan Binali Yildirim University Affiliated: Yes

Abstract

We introduce Mersenne-Lucas hybrid numbers. We give the Binet formula, the generating function, the sum, the character, the norm and the vector representation of these numbers. We find some relations among Mersenne-Lucas hybrid numbers, Jacopsthal hybrid numbers, Jacopsthal-Lucas hybrid numbers and Mersenne hybrid numbers. Then we present some important identities such as Cassini identities for Mersenne-Lucas hybrid numbers.