Results 11 to 20 of about 1,736,628 (188)

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

On Sums of Squares of Pell-Lucas Numbers

Integers, 2006
In this paper we prove several formulas for sums of squares of even Pell-Lucas numbers, sums of squares of odd Pell-Lucas numbers, and sums of products of even and odd PellLucas numbers. These sums have nice representations as products of appropriate Pell and Pell-Lucas numbers with terms from certain integer sequences.
Cerin Z., GIANELLA, Gian Mario
core   +6 more sources

On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers [PDF]

Axioms, 2023
Many different number systems have been the topic of research. One of the recently studied number systems is that of hybrid numbers, which are generalizations of other number systems.
Elen Viviani Pereira Spreafico, Paula Catarino, Paulo Vasco   +2 more
doaj   +2 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

On certain bihypernomials related to Pell and Pell-Lucas numbers

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022
The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce the concept of Pell and Pell-Lucas bihypernomials as a generalization of bihyperbolic Pell and Pell-Lucas numbers, respectively.
SZYNAL-LIANA, Anetta, WLOCH, İwona, LİANA, Mirosław   +2 more
openaire   +4 more sources

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

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

$k$-Pell-Lucas numbers as Product of Two Repdigits

, 2022
15 ...
Tripathy, Bibhu Prasad, Patel, Bijan Kumar   +1 more
openaire   +3 more sources

Almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
In this work, the general terms of almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers of first and second type are determined in terms of balancing and Lucas-balancing numbers.
Ahmet Tekcan, Esra Zeynep Türkmen
doaj   +1 more source

Effect of Bacille Calmette-Guérin vaccination on immune responses to SARS-CoV-2 and COVID-19 vaccination. [PDF]

Clin Transl Immunology
Bacille Calmette–Guérin (BCG), the vaccine for tuberculosis, has immunomodulatory effects that may underpin its off‐target effects on infectious disease risk and vaccine responses. This study used blood samples taken before and 28 days after COVID‐19 vaccinations (2‐dose primary course), from healthcare workers randomised to receive BCG vaccine or no ...
Messina NL, Germano S, Chung AW, van de Sandt CE, Stevens NE, Allen LF, Bonnici R, Croda J, Counoupas C, Grubor-Bauk B, Haycroft ER, Kedzierska K, McDonald E, McElroy R, Netea MG, Novakovic B, Perrett KP, Pittet LF, Purcell RA, Subbarao K, Triccas JA, Lynn DJ, Curtis N, BRACE Trial Consortium Group.   +23 more
europepmc   +2 more sources

On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers

Mathematics, 2021
Recently Panda et al. obtained some identities for the reciprocal sums of balancing and Lucas-balancing numbers. In this paper, we derive general identities related to reciprocal sums of products of two balancing numbers, products of two Lucas-balancing ...
Younseok Choo
doaj   +1 more source