Results 21 to 30 of about 1,694,233 (308)

A Study on Dual Hyperbolic Fibonacci and Lucas Numbers

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers.
Cihan Arzu   +3 more
doaj   +2 more sources

The Hyperbolic Sieve of Prime Numbers

open access: greenSSRN Electronic Journal, 2023
We start this study producing the HL - Hyperbolic Lattice Grid in the form of HL[x,y]=x*y. Then we show that the SMT – Square Multiplication Table is the result of the integer coordinates of the HL - Hyperbolic Lattice Grid in the form of HL[x,y]=x*y, in the first quadrant. From the SMT we define the SMTSP – Square Multiplication Table Sieve of Primes.
Charles Kusniec
openalex   +2 more sources

Properties of hyperbolic generalized Pell numbers [PDF]

open access: diamond, 2020
In this paper, we introduce the generalized hyperbolic Pell numbers over the bidimensional Clifford algebra of hyperbolic numbers. As special cases, we deal with hyperbolic Pell and hyperbolic Pell–Lucas numbers.
Y. Soykan, Melih Göcen
semanticscholar   +2 more sources

Systoles and kissing numbers of finite area hyperbolic surfaces [PDF]

open access: bronze, 2015
We study the number and the length of systoles on complete finite area orientable hyperbolic surfaces. In particular, we prove upper bounds on the number of systoles that a surface can have (the so-called kissing number for hyperbolic surfaces). Our main
Federica Fanoni, Hugo Parlier
openalex   +5 more sources

A Study on Dual-Generalized Complex and Hyperbolic-Generalized Complex Numbers

open access: diamond, 2020
This work is intended to introduce the theories of dual-generalized complex and hyperbolicgeneralized complex numbers. The algebraic properties of these numbers are taken into consideration.
N. Gürses, G. Y. Şentürk, S. Yüce
semanticscholar   +3 more sources

On Hyperbolic Generalized Woodall Numbers

open access: diamondAsian Journal of Advanced Research and Reports
In this study, we introduce the generalized hyperbolic Woodall numbers. As special cases, we study with hyperbolic Woodall, hyperbolic modified Woodall, hyperbolic Cullen numbers and hyperbolic modified Cullen numbers. We present Binet’s formulas, generating functions and the summation formulas for these numbers.
Orhan Eren, Yüksel Soykan
openalex   +4 more sources

Hyperbolic Horadam hybrid functions [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
The aim of this paper is to introduce the hybrid form of the hyperbolic Horadam function and to investigate some of its properties such as the generating function.
Efruz Özlem Mersin
doaj   +1 more source

Multicomponent hybrid numbers: On algebraic properties and matrix representations of hybrid-hyperbolic numbers

open access: yesNotes on Number Theory and Discrete Mathematics, 2022
In this study, the hybrid-hyperbolic numbers are introduced. This number system is a more general form of the hybrid number system, which is an interesting number system, as well as a number system that includes multicomponent number systems (i.e ...
Bahar Doğan Yazıcı, M. Tosun
semanticscholar   +1 more source

Performance of basic arithmetic actions with complex numbers, which are presented in interval hyperbolic form

open access: yesСучасні інформаційні системи, 2022
The goal of the work. Development of methods for performing basic arithmetic operations with interval complex numbers, which are presented in hyperbolic form, their modulus and argument. Results.
Svitlana Gadetska   +3 more
doaj   +1 more source

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