Results 11 to 20 of about 43 (32)
On generalized bihyperbolic Mersenne numbers
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
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Two-parameter generalization of bihyperbolic Jacobsthal numbers
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
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Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers
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 ...
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On Mersenne Numbers and their Bihyperbolic Generalizations
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
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An extended framework for bihyperbolic generalized Tribonacci numbers
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
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Low concentrations of neuroactive steroids alter kinetics of [3H]ifenprodil binding to the NMDA receptor in rat frontal cortex. [PDF]
Johansson T +3 more
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Structure-absorption relationships of a series of 6-fluoroquinolones. [PDF]
Escribano E +5 more
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Algebraic Properties of Bihyperbolic Numbers
Advances in Applied Clifford Algebras, 2020zbMATH 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, 2022Summary: 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, 2022In 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
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