On Oresme Numbers and Their Geometric Interpretations-Reference-Cited by-同舟云学术

On Oresme Numbers and Their Geometric Interpretations

Published:2024-09-01 Issue:3 Volume:14 Page:1291-1300
ISSN:2536-4618
Container-title:Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi
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Author:

Halıcı Serpil¹^ORCID,Sayın Elifcan²^ORCID

Affiliation:

1. Science Faculty, Depertmant of Mathematics

2. Mathematics

Abstract

In this study, we examined the Oresme sequences defined by Nicole Oresme. We examined the geometric interpretation of Oresme sequences with rational coefficients which are defined by A.F. Horadam as with initial conditions and . We defined the the vector of the Oresme sequence. We calculated the area and volume. We gave the general solution for four squares equation involving Oresme vectors. We calculated the Heron Formula of Oresme sequences. We defined the angle value between these sequences. We also obtained a relationship between the Oresme sequence and the generalized Fibonacci sequence in vector space. We calculated the area and volume of these sequence. We obtained important definitions and theorems for these sequences.

Funder

Pamukkale University, Bilimsel Araştırma Projeleri Koordinatörlüğü

Publisher

Igdir University

Reference13 articles.

1. Atanassov K., 2002. New visual perspectives on Fibonacci numbers. World Scientific.

2. Cetinberk K., Yuce, S., 2020. On Fibonacci Vectors. Hagia Sophia Journal of Geometry, 2(2), 12-25.

3. Cook C. K., 2004. Some sums related to sums of Oresme numbers. In Applications of Fibonacci.

4. Halici S., Gur Z., 2023. On Some Derivatives of k- Oresme Polynomials. Bulletin of The International Mathematical Virtual Institute, 13(1), 41-50.

5. Halici S., Gur Z., Sayin E., 2022. k- Oresme Polynomials and Their Derivatives, Third International Conference on Mathematics and Its Applications in Science and Engineering, Bucharest, Romania, 4-7 July. Hilton P., Pedersen J., 1994. A note on a geometrical property of Fibonacci numbers, The Fibanacci Quarterly, 32, 386-388.