Results 121 to 130 of about 2,865 (225)
On the (s,t)-Pell and (s,t)-Pell-Lucas numbers by matrix methods [PDF]
In this paper, we investigate some generalization of Pell and Pell-Lucas numbers, which is called (s, t)-Pell and (s, t)-Pell-Lucas numbers, and we define the 2 × 2 matrix W, which satisfy the relation W = 2sW+ tI.
Srisawat, Somnuk, Sriprad, Wanna
core
ABSTRACT Cellular aquaculture offers a sustainable solution to global seafood demand, yet the production of high‐value, whole‐cut fillets is hindered by the “texture gap,” the inability to replicate the complex, anisotropic architecture of native fish muscle and its collagenous myosepta.
Mustafa Öz, Enes Üstüner
wiley +1 more source
OBSERVATIONS ON HALF-COMPANION PELL- NUMBERS
- Pell number together with Half companion Pell number have been analysed. Some identities among these numbers are presented.
M. A. Gopalan* V. Geetha
core
In the current paper, we present a new class of systems called the Balancing-bilinear system of difference equations to investigate some theoretical proprieties.
Ahmed Ghezal, Imane Zemmouri
doaj +1 more source
ABSTRACT Urban flooding is one of the most frequent and destructive hazards, with disproportionate impacts in vulnerable urban neighborhoods. Although community resilience is critical for reducing flood impacts and supporting recovery, the integrated quantitative assessment of interactions between household, collective, and institutional factors ...
Fenosoa Nantenaina Ramiaramanana +3 more
wiley +1 more source
Pell and Pell-Lucas numbers with only one distinct digit [PDF]
In this paper, we show that there are no Pell or Pell-Lucas numbers larger than 10 with only one distinct ...
Luca, Florian, Faye, Bernadette
core
Equations with arithmetic functions of Pell numbers [PDF]
Here, we prove some diophantine results about the Euler function of Pell numbers and their Pell-Lucas companion sequence. For example, if the Euler function of the nth Pell number Pn or Pell- Lucas companion number Qn is a power of 2, then n is greater ...
Pantelimon Stănică +3 more
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Pell and Pell–Lucas Sequences of Fractional Order
The purpose of this paper is to introduce the fractional Pell numbers, together with several properties, via a Grünwald–Letnikov fractional operator of orders q∈(0,1) and q∈(1,2).
Jagan Mohan Jonnalagadda +1 more
doaj +1 more source
Incomplete k-Pell, k-Pell-Lucas and Modified k-Pell Numbers
In this paper, it is defined the incomplete $k$-Pell, $k$-Pell-Lucas and Modified $k$-Pell numbers, it is studied the recurrence relations, some properties of these sequences of integers and their generating functions.
openaire +2 more sources
Norms Of Hankel-Hessenberg and Toeplitz-Hessenberg Matrices Involving Pell and Pell-Lucas Numbers
We derive some sum formulas for the squares of Pell and Pell-Lucas numbers. We construct Hankel-Hessenberg andToeplitz-Hessenberg matrices whose entries in the first column are HHP = aij , ij i j a Pï€ = ; Q HH =   ij a , ij i j a Qï€ =and ...
GÖKBAS, Hasan
core +1 more source

