Open AccessOn Generalized 2-primes Numbers
Author(s) -
Yüksel Soykan
Publication year - 2020
Publication title -
asian journal of advanced research and reports
Language(s) - English
Resource type - Journals
ISSN - 2582-3248
DOI - 10.9734/ajarr/2020/v9i230217
Subject(s) - mathematics , lucas sequence , lucas number , discrete mathematics , arithmetic , fibonacci number , combinatorics , algebra over a field , pure mathematics , fibonacci polynomials , orthogonal polynomials , difference polynomials
In this paper, we introduce the generalized 2-primes sequences and we deal with, in detail, three special cases which we call them 2-primes, Lucas 2-primes and modified 2-primes sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.