Results 11 to 20 of about 1,210,107 (224)

Some properties of bicomplex Pell and Pell-Lucas numbers

Journal of Information and Optimization Sciences, 2020
In this work, we investigated bicomplex Pell and Pell-Lucas numbers. We defined generating function and various identities involving both bicomplex Pell and Pell-Lucas numbers.
Karatas, Adnan, Halici, Serpil
openaire   +4 more sources

Pell numbers whose Euler function is a Pell number

Publications de l'Institut Mathematique, 2017
We show that the only Pell numbers whose Euler function is also a Pell number are 1 and 2.
Faye, Bernadette, Luca, Florian
openaire   +5 more sources

Pell and Pell–Lucas numbers as difference of two repdigits

Afrika Matematika, 2023
to appear in Afrika ...
Edjeou, Bilizimbéyé, Faye, Bernadette
openaire   +3 more sources

The complex-type Pell p-numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we define the complex-type Pell p-numbers and give the generating matrix of these defined numbers. Then, we produce the combinatorial representation, the generating function, the exponential representation and the sums of the complex-type ...
Yeşim Aküzüm, Hüseyin Aydın, Ömür Deveci   +2 more
doaj   +3 more sources

On a New Generalization of Pell Hybrid Numbers [PDF]

Annales Mathematicae Silesianae
In this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r-Pell numbers, we define the r-Pell hybrid numbers.
Bród Dorota, Szynal-Liana Anetta, Włoch Iwona   +2 more
doaj   +3 more sources

Pell and Pell-Lucas numbers as sums of two Jacobsthal numbers [PDF]

, 2022
First ...
Gaber, Ahmed
core   +4 more sources

Generalized sum of Pell Numbers [PDF]

, 2021
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, Sparavigna, A. C.   +1 more
core   +1 more source

On Generalized Pell Numbers of Order r ≥ 2

Trends in Computational and Applied Mathematics, 2021
In this paper we investigate the generalized Pell numbers of order r ≥ 2 through the properties of their related fundamental system of generalized Pell numbers.
E. V. Pereira Spreafico, M. Rachidi
doaj   +1 more source

One Type of Symmetric Matrix with Harmonic Pell Entries, Its Inversion, Permanents and Some Norms

Mathematics, 2021
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, Mücahit Akbiyik, Fatih Yilmaz   +2 more
doaj   +1 more source

Matrix Representation of Bi-Periodic Pell Sequence [PDF]

Journal of Mahani Mathematical Research, 2023
In this study, a generalization of the Pell sequence called bi-periodic Pell sequence is carried out to matrix theory. Therefore, we call this matrix sequence the bi-periodic Pell matrix sequence whose entries are bi-periodic Pell numbers.
Sukran UYGUN, Ersen Akıncı
doaj   +1 more source