Results 31 to 40 of about 9,739,525 (175)
On matrices with the pell, pell-lucas, k−pell and k−pell-lucas quaternions [PDF]
In this paper, for any positive real number k, we introduce the k−Pell and k−Pell-Lucas quaternions and we consider certain matrices whose entries are Pell, PellLucas, k−Pell and k−Pell-Lucas quaternions.
Vasco, Paulo, Catarino, Paula
core +1 more source
One Type of Symmetric Matrix with Harmonic Pell Entries, Its Inversion, Permanents and Some Norms
The Pell numbers, named after the English diplomat and mathematician John Pell, are studied by many authors. At this work, by inspiring the definition harmonic numbers, we define harmonic Pell numbers.
Seda Yamaç Akbiyik +2 more
doaj +1 more source
Generalized sum of Pell Numbers [PDF]
Here we are proposing a generalized sum for Pell numbers. This sum contains four Pell numbers. By means of this generalized sum, the Pell number at position (n+m) in the sequence is given by the Pell numbers at positions n, m, (n-1) and (m-1)
Sparavigna, Amelia Carolina +1 more
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A new quadra polynomial sequence [PDF]
In this paper, we define a new quadra polynomial sequence by using Özkoç numbers as the coefficients. Then, we derive some properties for this polynomial sequence by the help of Fibonacci and Pell polynomials.
Emre Sevgi
doaj +1 more source
Pendahuluan: Odontektomi merupakan salah satu prosedur yang sering dilakukan oleh dokter gigi. Beberapa kasus odontektomi dilakukan dengan menggunakan anestesi umum dengan pertimbangan tertentu, seperti kecemasan pasien, gangguan mental atau fisik ...
Zaimi Ginanjar +2 more
doaj +1 more source
On Mixed 𝐵-Concatenations of Pell and Pell–Lucas Numbers which are Pell Numbers
Let (𝑃𝑛)𝑛≥0 and (𝑄𝑛)𝑛≥0 be the Pell and Pell–Lucas sequences. Let 𝑏 be a positive integer such that 𝑏 ≥ 2. In this paper, we prove that the following two Diophantine equations 𝑃𝑛 = 𝑏𝑑𝑃𝑚 + 𝑄𝑘 and 𝑃𝑛 = 𝑏𝑑𝑄𝑚 + 𝑃𝑘 with 𝑑, the number of digits of 𝑃𝑘 or 𝑄𝑘 in base 𝑏, have only finitely many solutions in nonnegative integers (𝑚, 𝑛, 𝑘, 𝑏, 𝑑).
Adédji, Kouéssi Norbert +1 more
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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
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Security Issues of Novel RSA Variant
The RSA is one of the current default cryptosystems that provides security with applications such as encryptions and digital signatures. It is important to further study the weak characteristics of the RSA to ensure correct utilisation in order not to be
Abderrahmane Nitaj +4 more
doaj +1 more source
The Adjacency-Pell-Hurwitz Numbers
See the abstract in the attached pdf.
Josh Hiller +2 more
openaire +4 more sources
Pell Leonardo numbers and their matrix representations
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

