Results 11 to 20 of about 90,394 (222)

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

open access: yesMathematics, 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   +2 more
doaj   +3 more sources

Exact divisibility by powers of the Pell and Associated Pell numbers

open access: yesProceedings - Mathematical Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G K Panda, Asim Patra
openaire   +3 more sources

Some properties of bicomplex Pell and Pell-Lucas numbers

open access: yesJournal 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   +3 more sources

Pell Equations and ℱpl-Continued Fractions

open access: yesJournal of Mathematics, 2022
In this note, the solvability of the Pell equation, X2−DY2=1, is discussed over ℤ×plℤ. In particular, we show that this equation is solvable over ℤ×plℤ for each prime p and natural number l.
Seema Kushwaha
doaj   +1 more source

Fermat and Mersenne numbers in $k$-Pell sequence

open access: yesМатематичні Студії, 2021
For an integer $k\geq 2$, let $(P_n^{(k)})_{n\geq 2-k}$ be the $k$-generalized Pell sequence, which starts with $0,\ldots,0,1$ ($k$ terms) and each term afterwards is defined by the recurrence $ P_n^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+\cdots +P_{n-k}^{(k)}
B. Normenyo, S. Rihane, A. Togbe
doaj   +1 more source

A Note on Two Fundamental Recursive Sequences

open access: yesAnnales Mathematicae Silesianae, 2021
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
doaj   +1 more source

Association between Pell and Gregory classification and the difficulty of the extraction of the lower third parties

open access: yesRGO: Revista Gaúcha de Odontologia, 2021
Lower third molar extraction is a common procedure in Oral and Maxillofacial Surgeons routine. However, even though this procedure is frequent, sometimes its course is unexpected.
Erasmo Freitas de SOUZA JUNIOR   +4 more
doaj   +1 more source

The maximum number of $P_\ell$ copies in $P_k$-free graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2019
Generalizing Tur\'an's classical extremal problem, Alon and Shikhelman investigated the problem of maximizing the number of $T$ copies in an $H$-free graph, for a pair of graphs $T$ and $H$.
Ervin Győri   +3 more
doaj   +1 more source

Making the Grade [PDF]

open access: yes, 2016
With its July 2015 announcement of the Second Chance Pell Pilot Program, the U.S. Department of Education ushered in what could be a new era of expanded opportunities for postsecondary education in our nation's prisons. The Second Chance Pell Pilot makes
Fred Patrick   +2 more
core   +1 more source

On Generalized Pell and Pell–Lucas Numbers [PDF]

open access: yesIranian Journal of Science and Technology, Transactions A: Science, 2019
In this paper, we introduce and study a new one-parameter generalization of Pell numbers. We describe their distinct properties also related to matrix representation.
Lucyna Trojnar-Spelina, Iwona Włoch
openaire   +1 more source

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