Results 11 to 20 of about 9,126,608 (179)
Some properties of bicomplex Pell and Pell-Lucas numbers
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
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Pell and Pell–Lucas numbers as difference of two repdigits
to appear in Afrika ...
Edjeou, Bilizimbéyé, Faye, Bernadette
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On certain bihypernomials related to Pell and Pell-Lucas numbers
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 +2 more
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Effect of Bacille Calmette-Guérin vaccination on immune responses to SARS-CoV-2 and COVID-19 vaccination. [PDF]
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 +23 more
europepmc +2 more sources
A Note on Two Fundamental Recursive Sequences
In this note, we establish some general results for two fundamental recursive sequences that are the basis of many well-known recursive sequences, as the Fibonacci sequence, Lucas sequence, Pell sequence, Pell-Lucas sequence, etc.
Farhadian Reza, Jakimczuk Rafael
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Fibonacci–Lucas–Pell–Jacobsthal relations [PDF]
In this paper, we prove several identities involving linear combinations of convolutions of the generalized Fibonacci and Lucas sequences. Our results apply more generally to broader classes of second-order linearly recurrent sequences with constant ...
Goy, Taras +2 more
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On some new results for the generalised Lucas sequences
In this paper we introduce the functions which count the number of generalized Lucas and Pell-Lucas sequence terms not exceeding a given value x and, under certain conditions, we derive exact formulae (Theorems 3 and 4) and establish asymptotic limits ...
Andrica Dorin +2 more
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On Pell and Pell-Lucas Generalized Octonions
In this study, we gave a generalization on Pell and Pell-Lucas octonions over the algebra O(a, b, c) where a, b and c are real numbers. For these number sequences, we obtain Binet formulas and gave some wellknown identities such as Catalan’s identity ...
Ümit TOKEŞER, Tuğba MERT, Göksal Bilgici, Zafer ÜNAL
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Unrestricted Pell and Pell – Lucas 2N-ons
In this study, we define unrestricted Pell and Pell – Lucas hyper-complex numbers. We choose arbitrary Pell and Pell – Lucas numbers for the coefficients of the ordered basis 〖{e〗_0,e_1,⋯,e_(N-1)} of hyper-complex 2^N-ons where N∈{0,1,2,3,4} and call ...
Öznur BAYRAKÇI ÖZSOY +3 more
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A New Generalization of Pell-Lucas Numbers (Bi-Periodic Pell-Lucas Sequence)
In this study, we bring into light, a new generalization of the Jacobsthal Lucas numbers, which shall also be called the bi-periodic Jacobsthal Lucas sequence as \begin{align*} Q_{n}= \begin{cases} 2bQ_{n-1}+Q_{n-2},&\text{if} \ n \ \text{is even} \\ 2aQ_{n-1}+Q_{n-2},&\text{if} \ n \ \text{is odd}% \end{cases} \text{\ \ }n\geq 2, \end{align*} with ...
Sukran Uygun, Hasan Karatas
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