Results 171 to 180 of about 15,160 (203)

On applications of Pell and Pell-Lucas numbers with matrix method

Journal of Intelligent & Fuzzy Systems, 2023
In this study, new matrices which produce the Pell and Pell-Lucas numbers are given. By using these matrices, new identities and relations related to the Pell and Pell-Lucas numbers are obtained.
Ü. Akbaba, A. Değer
semanticscholar   +2 more sources

Pell or Pell–Lucas numbers as concatenations of two repdigits in base b

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022
Let b be a positive integer such that b≥2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt ...
K. N. Adédji, A. Filipin, S. Rihane, A. Togbé   +3 more
semanticscholar   +3 more sources

New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers

Chaos, Solitons and Fractals, 2021
Songul Çelik, Engin Özkan
exaly   +2 more sources

Repdigits base b as products of two Pell numbers or Pell–Lucas numbers

Boletin De La Sociedad Matematica Mexicana, 2021
Fatih Erduvan, Refik Keskin, Zafer Siar   +2 more
exaly   +2 more sources

Perfect Pell and Pell–Lucas numbers

Studia Scientiarum Mathematicarum Hungarica, 2019
The Pell sequence (Pn)n=0∞ is given by the recurrence Pn = 2Pn−1 + Pn−2 with initial condition P0 = 0, P1 = 1 and its associated Pell-Lucas sequence (Qn)n=0∞ is given by the same recurrenc...
Jhon J. Bravo, F. Luca
semanticscholar   +2 more sources

Integral Aspects of the Generalized Pell and Pell-Lucas Numbers

International Journal of Mathematics and Computer Science
In this paper, we propose integral representations of the one-parameter k-Pell and k-Pell-Lucas numbers. Our results are also deduced with the Pell and Pell-Lucas numbers.
A. Nilsrakoo, W. Nilsrakoo
semanticscholar   +2 more sources

Pell and Pell–Lucas numbers of the form $$x^a\pm x^b+1$$

Boletin De La Sociedad Matematica Mexicana, 2020
Bir Kafle, Salah Eddine Rihane, Alain Togbé   +2 more
exaly   +2 more sources

On the problem of pillai with pell numbers, pell-lucas numbers and powers of 3

International Journal of Number Theory, 2022
Let [Formula: see text] be the sequence of Pell numbers defined by [Formula: see text], [Formula: see text] and [Formula: see text] for all [Formula: see text] and let [Formula: see text] be its companion sequence, the Pell–Lucas numbers defined by [Formula: see text] and [Formula: see text] for all [Formula: see text].
Bilizimbéyé Edjeou, Bernadette Faye
semanticscholar   +2 more sources

Intersections of Pell, Pell-Lucas Numbers and Sums of Two Jacobsthal Numbers

Punjab University journal of mathematics, 2023
We use tools from Baker’s linear forms theory to solve the two Diophantine equations Pk = Jn + Jm and Qk = Jn + Jm where {Pk}k≥0, {Qk}k≥0 and {Jk}k≥0 are the sequences of Pell, Pell-Lucas and Jacobsthal numbers, respectively.
Ahmed Gaber
semanticscholar   +1 more source

Some properties of starlike functions subordinate to k-Pell–Lucas numbers

Boletín de la Sociedad Matemática Mexicana, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ş. Altınkaya, Yeliz Kara, Yeşim Sağlam Özkan   +2 more
semanticscholar   +3 more sources