Results 11 to 20 of about 46 (31)

On a new generalization of bihyperbolic Pell numbers

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica, 2021
Dorota Brod, Anetta Szynal-Liana, Iwona Włoch   +2 more
exaly   +2 more sources

Topological Bihyperbolic Modules

Communications in Advanced Mathematical Sciences, 2021
The aim of this article is introducing and researching hyperbolic modules, bihyperbolic modules, topological hyperbolic modules, and topological bihyperbolic modules.
Merve Bilgin, Soley Ersoy
doaj   +1 more source

On generalized bihyperbolic Mersenne numbers

Mathematica Bohemica, 2023
Summary: In this paper, a new generalization of Mersenne bihyperbolic numbers is introduced. Some of the properties of presented numbers are given. A general bilinear index-reduction formula for the generalized bihyperbolic Mersenne numbers is obtained. This result implies the Catalan, Cassini, Vajda, d'Ocagne and Halton identities.
Dorota Bród, Anetta Szynal-Liana
openaire   +2 more sources

A Study on Fibonacci and Lucas Bihypernomials

Discussiones Mathematicae - General Algebra and Applications, 2022
The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce and study the Fibonacci and Lucas bihypernomials, i.e., polynomials, which are a generalization of the bihyperbolic Fibonacci numbers and the ...
Szynal-Liana Anetta, Włoch Iwona
doaj   +1 more source

Two-parameter generalization of bihyperbolic Jacobsthal numbers

Proyecciones (Antofagasta), 2022
In this paper we define a two-parameter generalization of bihyperbolic Jacobsthal numbers. We give Binet formula, the generating functions and some identities for these numbers.
Dorota Bród, Anetta Szynal-Liana, Iwona Włoch   +2 more
openaire   +2 more sources

An extended framework for bihyperbolic generalized Tribonacci numbers

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
The aim of this article is to identify and analyze a new type special number system which is called bihyperbolic generalized Tribonacci numbers (BGTN for short). For this purpose, we give both classical and several new properties such as; recurrence relation, Binet formula, generating function, exponential generating function, summation formulae ...
Nurten Gürses, Zehra İşbilir
openaire   +3 more sources

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Algebraic Properties of Bihyperbolic Numbers

Advances in Applied Clifford Algebras, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sóley Ersoy, Merve Bilgin, Ersoy Sóley   +2 more
exaly   +4 more sources

Bihyperbolic numbers of the Fibonacci type and their idempotent representation

Commentationes Mathematicae Universitatis Carolinae, 2022
Summary: In this paper we introduce bihyperbolic numbers of the Fibonacci type. We present some of their properties using matrix generators and idempotent representations.
Bród, Dorota, Szynal-Liana, Anetta, Włoch, Iwona   +2 more
exaly   +2 more sources

Conditional probability measure in the algebra of bihyperbolic numbers

Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine
An important area of modern mathematics is the study of hypercomplex systems and their possible applications, in particular, for the construction of hypercomplex measure theory, probability theory and mathematical statistics. In this paper, we present a generalization of the notion of a conditional probability measure (real-valued conditional ...
exaly   +2 more sources

One-parameter generalization of the bihyperbolic Jacobsthal numbers

Asian-European Journal of Mathematics, 2022
In this paper, we introduce and study a one-parameter generalization of bihyperbolic Jacobsthal numbers. We give some identities and the generating function for these numbers.
Bród, Dorota, Szynal-Liana, Anetta, Włoch, Iwona   +2 more
openaire   +2 more sources