Open AccessA STUDY ON GENERALIZED 5-PRIMES NUMBERS
Author(s) -
Yüksel Soykan
Publication year - 2020
Publication title -
health sciences quarterly
Language(s) - English
Resource type - Journals
ISSN - 2791-6022
DOI - 10.26900/jsp.4.017
Subject(s) - mathematics , lucas sequence , lucas number , discrete mathematics , arithmetic , algebra over a field , combinatorics , pure mathematics , fibonacci number , fibonacci polynomials , orthogonal polynomials , difference polynomials
In this paper, we introduce the generalized 5-primes numbers sequences and we deal with, in detail, three special cases which we call them 5-primes, Lucas 5-primes and modified 5-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.