Results 71 to 80 of about 1,148,545 (158)

A Class of Completely Monotonic Functions Related to the Remainder of Binet's Formula with Applications

open access: yes, 2016
[[abstract]]In the note, the complete monotonicity of dierence between remain- ders of Binet's formula and the star-shaped and subadditive properties of the remainder of Binet's formula are ...
Senlin Guo, Feng Qi, 郭森林, 祁鋒
core  

Split Quaternionic Representations of Horadam Sequences and Their Binet, Generating Function, and Cassini‐Type Identities

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This study establishes a novel algebraic connection between Horadam numbers and the split quaternion algebra. To this end, two fundamental constructs are introduced: the Fibonacci Sq,r‐split quaternions and the Horadam sq,r‐split quaternions, which generalize Horadam numbers within the framework of split quaternions.
İskender Öztürk   +2 more
wiley   +1 more source

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

open access: yesJournal of Child Psychology and Psychiatry, Volume 66, Issue 12, Page 1875-1888, December 2025.
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   +3 more
wiley   +1 more source

A Generalized Binet Formula That Counts the Tilings of a (2 x n)-board

open access: yesIntegers, 2018
See the abstract in the attached pdf.
Reza Kahkeshani, Meysam Arab
openaire   +2 more sources

Comparison of Adulthood Outcomes in Autism Spectrum Disorder With and Without Regression: A Population‐Based Birth Cohort Study

open access: yesAutism Research, Volume 18, Issue 11, Page 2334-2344, November 2025.
ABSTRACT The long‐term outcomes of regression in autism spectrum disorder (ASD) remain unclear. Previous evidence suggests that autistic individuals with regression have poorer adulthood outcomes across various indices than those without regression. We compared two groups—those with and without regression in ASD—among 168 participants from a population‐
Satoru Minami   +4 more
wiley   +1 more source

A generalization of the Binet-Minc formula for the evaluation of permanents

open access: yesLinear Algebra and its Applications, 1988
The author presents a formula which coincides with the Binet-Minc formula for the evaluation of the permanent of the matrix \((a_{ij})\) which is presented in the polynomial \(\prod^{n}_{i=1}(\sum^{m}_{j=1}a_{ij}x_ j)\) where this formula is considered for the sum of the coefficients of monomials of the form \(x^{j_ 1}_{\ell_ 1}...x^{j_ p}_{\ell_ p ...
openaire   +2 more sources

THE GENERALIZED BINET FORMULA, REPRESENTATION AND SUMS OF THE GENERALIZED ORDER-$k$ PELL NUMBERS

open access: yesTaiwanese Journal of Mathematics, 2006
In this paper we give a new generalization of the Pell numbers in matrix representation. Also we extend the matrix representation and we show that the sums of the generalized order-k Pell numbers could be derived directly using this representation. Further we present some identities, the generalized Binet formula and combinatorial representation of the
Kiliç, Emrah, Taşci, Dursun
openaire   +4 more sources

On k-periodic binary recurrences [PDF]

open access: yes, 2012
We apply a new approach, namely the fundamental theorem of homogeneous linear recursive sequences, to k-periodic binary recurrences which allows us to determine Binet's formula of the sequence if k is given.
Irmak, Nurettin, Szalay, Laszlo
core  

Kproblema

open access: yes, 2021
El Paskín Matemático es una producción del Programa de Matemáticas de la Fundación Universitaria Konrad Lorenz, abierto a todas las personas, que tiene el propósito de acercar al conocimiento matemático de manera amena y rigurosa.Este artículo explora la
Arredondo García, John Alexander
core  

Some properties and extended Binet’s formula for the class of bifurcating Fibonacci sequence

open access: yesRatio Mathematica
One of the generalizations of Fibonacci sequence is a -Fibonacci sequence, which is further generalized in several other ways, some by conserving the initial conditions and others by conserving the related recurrence relation.
Daksha Manojbhai Diwan   +2 more
doaj   +1 more source

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