Results 11 to 20 of about 43 (32)

On generalized bihyperbolic Mersenne numbers

open access: yesMathematica 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

Two-parameter generalization of bihyperbolic Jacobsthal numbers

open access: yesProyecciones (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   +2 more
openaire   +2 more sources

Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers

open access: yesJournal of Advanced Research in Natural and Applied Sciences, 2023
In this study, we define a new type of Pell and Pell-Lucas numbers which are called Gaussian-bihyperbolic Pell and Pell-Lucas numbers. We also define negaGaussian-bihyperbolic Pell and Pell-Lucas numbers. Moreover, we obtain Binet’s formulas, generating function formulas, d’Ocagne’s identities, Catalan’s identities, Cassini’s identities and some sum ...
openaire   +3 more sources

On Mersenne Numbers and their Bihyperbolic Generalizations

open access: yesAnnales Mathematicae Silesianae
Abstract In this paper, we introduce Mersenne and Mersenne–Lucas bihyperbolic numbers, i.e. bihyperbolic numbers whose coefficients are consecutive Mersenne and Mersenne–Lucas numbers. Moreover, we study one parameter generalizations of Mersenne and Mersenne–Lucas bihyperbolic numbers.
Dorota Bród, Anetta Szynal-Liana
openaire   +2 more sources

An extended framework for bihyperbolic generalized Tribonacci numbers

open access: yesCommunications 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

Structure-absorption relationships of a series of 6-fluoroquinolones. [PDF]

open access: yesAntimicrob Agents Chemother, 1997
Escribano E   +5 more
europepmc   +1 more source

Algebraic Properties of Bihyperbolic Numbers

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

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