Open AccessGeneralized Oresme Numbers
Author(s) -
Yüksel Soykan
Publication year - 2021
Publication title -
earthline journal of mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2581-8147
DOI - 10.34198/ejms.7221.333367
Subject(s) - sequence (biology) , lucas sequence , lucas number , mathematics , generating function , algebra over a field , calculus (dental) , discrete mathematics , arithmetic , fibonacci number , computer science , combinatorics , pure mathematics , fibonacci polynomials , medicine , genetics , dentistry , orthogonal polynomials , biology , difference polynomials
In this paper, we introduce the generalized Oresme sequence and we deal with, in detail, three special cases which we call them modified Oresme, Oresme-Lucas and Oresme 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.