Results 41 to 50 of about 1,171 (108)

On some identities for the DGC Leonardo sequence [PDF]

Notes on Number Theory and Discrete Mathematics
In this study, we examine the Leonardo sequence with dual-generalized complex (DGC) coefficients for 𝔭∈ℝ. Firstly, we express some summation formulas related to the DGC Fibonacci, DGC Lucas, and DGC Leonardo sequences.
Çiğdem Zeynep Yılmaz, Gülsüm Yeliz Saçlı   +1 more
doaj   +1 more source

Relations between Generalized Bi-Periodic Fibonacci and Lucas Sequences

Mathematics, 2020
In this paper we consider a generalized bi-periodic Fibonacci {fn} and a generalized bi-periodic Lucas sequence {qn} which are respectively defined by f0=0, f1=1, fn=afn−1+cfn−2 (n is even) or fn=bfn−1+cfn−2 (n is odd), and q0=2d, q1=ad, qn=bqn−1+cqn−2 ...
Younseok Choo
doaj   +1 more source

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

Journal 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, Hasan Çakır, Smritijit Sen   +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?

Journal 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, Ivan Voronin, Margherita Malanchini, Tom A. McAdams   +3 more
wiley   +1 more source

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

Autism 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, Mitsuaki Iwasa, Hiroko Ohzono, Daimei Sasayama, Hideo Honda   +4 more
wiley   +1 more source

Hyper-Dual Leonardo Quaternions

Journal of New Theory
In this paper, hyper-dual Leonardo quaternions are defined and studied. Some basic properties of the hyper-dual Leonardo quaternions, including their relationships with the hyper-dual Fibonacci quaternions and hyper-dual Lucas quaternions, are analyzed ...
Tülay Yağmur
doaj   +1 more source

Refinements of Some Recent Inequalities for Certain Special Functions

Annales Mathematicae Silesianae, 2019
The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed, Ighachane Mohamed Amine   +1 more
doaj   +1 more source

The Development of a Community‐Led Child Protection Approach in Low‐ and Middle‐Income Countries

Child Abuse Review, Volume 34, Issue 6, November/December 2025.
ABSTRACT Child protection actors, including community members, work to prevent and respond to violence, abuse, neglect and the exploitation of children. Child protection approaches implemented by nongovernmental organisations (NGOs) and other agencies are often located in communities but are not led by those communities.
Rinske Everarda Catharina Ellermeijer, Caroline Isabelle Sophie Veldhuizen, Bill Bell, Cynthia Ray, Thurairatnam Krishanthan, Juan Jose Castellanos Piedrahita, Ria Reis, Mark J. D. Jordans   +7 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

New Results on Negative-Indexed Pell Numbers via Matrix Methods

Cumhuriyet Science Journal
In this study, we investigate the Pell and Pell–Lucas numbers sequences and construct matrices whose elements are defined using negative indices of these sequences through Binet’s formula. Identities involving negative-indexed Pell and Pell–Lucas numbers
İbrahim Gökcan, Ümmügülsün Çağlayan, Ali Hikmet Değer   +2 more
doaj   +1 more source