Results 31 to 40 of about 1,029,498 (122)

On Third-Order Bronze Fibonacci Numbers

Mathematics, 2021
In this study, we firstly obtain De Moivre-type identities for the second-order Bronze Fibonacci sequences. Next, we construct and define the third-order Bronze Fibonacci, third-order Bronze Lucas and modified third-order Bronze Fibonacci sequences. Then,
Mücahit Akbiyik, Jeta Alo
doaj   +1 more source

Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function

, 2014
In the paper, the authors establish integral representations of some functions related to the remainder of Burnside's formula for the gamma function and find the (logarithmically) complete monotonicity of these and related functions. These results extend
Qi, Feng
core   +1 more source

The Hybrid Numbers of Padovan and Some Identities

Annales Mathematicae Silesianae, 2020
In this article, we will define Padovan’s hybrid numbers, based on the new noncommutative numbering system studied by Özdemir ([7]). Such a system that is a set involving complex, hyperbolic and dual numbers.
Mangueira Milena Carolina dos Santos, Vieira Renata Passos Machado, Alves Francisco Régis Vieira, Catarino Paula Maria Machado Cruz   +3 more
doaj   +1 more source

Generalized Heisenberg algebras and k-generalized Fibonacci numbers

, 2007
It is shown how some of the recent results of de Souza et al. [1] can be generalized to describe Hamiltonians whose eigenvalues are given as k-generalized Fibonacci numbers.
Curado E M F, de Souza J, Dubeau F, Dubeau F, Fuller L E, Hoggatt V E, Lee G-Y, Lee G-Y, Levesque C, Matthias Schork, Mouline M, Mouline M, Philippou A N, Turban L, Turban L   +14 more
core   +2 more sources

Examining the association between cognitive ability and emotional problems across childhood using a genetically informative design: could there be a causal relationship?

Journal of Child Psychology and Psychiatry, EarlyView.
Background Emotional problems co‐occur with difficulties in verbal and nonverbal cognitive ability, yet the pathways underlying their association remain poorly understood: It is unclear whether effects may be causal, and to what extent they may run from cognition to emotion, or vice versa.
Meredith X. Han, Ivan Voronin, Margherita Malanchini, Tom A. McAdams   +3 more
wiley   +1 more source

On Generalized Avicenna Numbers

Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13300-13316, 30 September 2025.
ABSTRACT Avicenna numbers that we define in this paper, are a class of figurate numbers, including icosahedral, octahedral, tetrahedral, dodecahedral, rhombicosidodecahedral numbers and cubes, play a key role in mathematics, physics and various scientific fields.
Melih Göcen, Yüksel Soykan
wiley   +1 more source

GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS

Journal of Amasya University the Institute of Sciences and Technology, 2020
In this paper, we present generalized identities of bivariate Fibonacci polynomials and bivariate Lucas polynomials and related identities consisting even and odd terms. Binet’s formula will employ to obtain the identities.
Jaya Bhandari, V. K. Gupta, Yashwant Panwar   +2 more
doaj  

Modular Invariant of Quantum Tori II: The Golden Mean [PDF]

, 2012
In our first article in this series ("Modular Invariant of Quantum Tori I: Definitions Nonstandard and Standard" arXiv:0909.0143) a modular invariant of quantum tori was defined.
Bernard, C. Castaño, Gendron, T. M.
core  

Tribonacci and Tribonacci-Lucas Sedenions

, 2018
The sedenions form a 16-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of these sedenions and derive relationships between them.Comment: 17 pages, 1 ...
Soykan, Yüksel
core   +1 more source

Christian Bohr. Discoverer of Homotropic and Heterotopic Allostery

Acta Physiologica, Volume 241, Issue S734, July 2025.
ABSTRACT This essay recounts and revisits the scientific contributions of Christian Bohr, highlighting his pivotal role in discovering allostery about 120 years ago. Bohr's meticulous experimentation led to identifying two distinct forms of allostery: homotropic (single‐ligand) and heterotropic (multi‐ligand), the latter widely recognized as the Bohr ...
Niels Bindslev
wiley   +1 more source