Results 41 to 50 of about 5,889 (226)

Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers

open access: yesAbstract and Applied Analysis, 2014
Circulant matrices may play a crucial role in solving various differential equations. In this paper, the techniques used herein are based on the inverse factorization of polynomial.
Tingting Xu, Zhaolin Jiang, Ziwu Jiang
doaj   +1 more source

The Adjacency-Pell-Hurwitz Numbers

open access: yesIntegers, 2018
See the abstract in the attached pdf.
Josh Hiller   +2 more
openaire   +4 more sources

Some Sum Formulas for Hyperbolic Pell and Hperbolic Pell-Lucas Numbers [PDF]

open access: yes, 2022
In the paper, let us define HP and HQ to be hypebolic Pell and Hyperbolic Pell-Lucasnumbers. We have determined sum formulas for these hyperbolic number sequences.
Taş, Sait
core  

Pell Leonardo numbers and their matrix representations

open access: yesJournal of New Results in Science
In this study, we investigate Pell numbers and Leonardo numbers and describe a new third-order number sequence entitled Pell Leonardo numbers. We then construct some identities, including the Binet formula, generating function, exponential generating ...
Çağla Çelemoğlu
doaj   +1 more source

Floor and ceiling functions for Pell numbers [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
The analytical study of the Pell number and the role of floor and ceiling functions into their computation is examined. Closed expressions of Pell numbers were initially derived using Binet's formula, followed by an asymptotic behavior study of the ...
İsmail Sulan, Mustafa Aşçı
doaj   +1 more source

On the x -coordinates of Pell equations that are products of two Pell numbers [PDF]

open access: yesMathematica Slovaca, 2020
Abstract Let ( P m ) m ≥0 be the sequence of Pell numbers given by P
Mahadi Ddamulira, Florian Luca
openaire   +1 more source

Fibonacci–Lucas–Pell–Jacobsthal relations [PDF]

open access: yes, 2022
In this paper, we prove several identities involving linear combinations of convolutions of the generalized Fibonacci and Lucas sequences. Our results apply more generally to broader classes of second-order linearly recurrent sequences with constant ...
Goy, Taras   +2 more
core   +4 more sources

Generalized Pell graphs [PDF]

open access: yes, 2023
In this paper, generalized Pell graphs $Pi_{n,k}$, $kge 2$, are introduced. The special case of $k=2$ are the Pell graphs $Pi_{n}$ defined earlier by Munarini. Several metric, enumerative, and structural properties of these graphs are established.
Tan, Elif   +2 more
core   +2 more sources

Prenatal exposure to antihypertensive medication: A systematic review of neurodevelopmental and educational outcomes

open access: yesJCPP Advances, EarlyView.
This systematic review investigated the association of prenatal exposure to antihypertensive medication with longer‐term poor neurodevelopmental outcomes by evaluating the findings from existing literature. We undertook a systematic review of previous studies looking specifically at neurodevelopmental outcomes in children.
Shrifah Alkhalaf   +5 more
wiley   +1 more source

On the Characteristic Polynomial of the Generalized k-Distance Tribonacci Sequences

open access: yesMathematics, 2020
In 2008, I. Włoch introduced a new generalization of Pell numbers. She used special initial conditions so that this sequence describes the total number of special families of subsets of the set of n integers.
Pavel Trojovský
doaj   +1 more source

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