Open AccessMersenne-Lucas hybrid numbers
Author(s) -
Engi̇n Özkan,
Mi̇ne Uysal
Publication year - 2021
Publication title -
mathematica montisnigri
Language(s) - English
Resource type - Journals
eISSN - 2704-4963
pISSN - 0354-2238
DOI - 10.20948/mathmontis-2021-52-2
Subject(s) - mersenne prime , lucas sequence , lucas number , mathematics , arithmetic , recurrence relation , combinatorics , fibonacci polynomials , fibonacci number , difference polynomials , orthogonal polynomials
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