Results 41 to 50 of about 21,203 (185)
GENERALIZATION OF PELL SEQUENCE AND PELL-LUCAS SEQUENCE, NEW RESULTS AND CIRCULANT MATRICES ASPECTS [PDF]
Some generalizations of Pell sequence and Pell-Lucas sequence, namely, (k,h)-Pell sequence and (k,h)-Pell-Lucas sequence are considered in this paper. We obtain generating functions, some identities and formulas for the sums of a finite number of terms ...
Jafari Petroudi, Seyyed Hossein +1 more
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Some Sum Formulas for Hyperbolic Pell and Hperbolic Pell-Lucas Numbers [PDF]
, 2022 In the paper, let us define HP and HQ to be hypebolic Pell and Hyperbolic Pell-Lucasnumbers. We have determined sum formulas for these hyperbolic number sequences.
Taş, Sait
core
Pell–Lucas diffractive lenses for trifocal multi-trap optical tweezers
JPhys PhotonicsIn this work, we introduce a new family of trifocal diffractive lenses based on the Pell–Lucas number sequence. Two phase configurations are considered: binary-phase and kinoform-type.
Arlen B Pérez-Hernández +5 more
doaj +1 more source
A NOTE ON BIGAUSSIAN PELL AND PELL-LUCAS NUMBERS
Journal of Science and Arts, 2021 In this study, we define a new type of Pell and Pell-Lucas numbers which are called biGaussian Pell and biGaussian Pell-Lucas numbers. We also give the relationship between negabiGaussian Pell and Pell-Lucas numbers and bicomplex Pell and Pell-Lucas numbers.
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Dual Proximal Groups Concisely Representing Complex Hosoya Triangles
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül +3 more
wiley +1 more source
Dual-Gaussian Pell and Pell-Lucas numbers
Cumhuriyet Science Journal, 2022 In this study, we define a new type of Pell and Pell-Lucas numbers which are called dual-Gaussian Pell and dual-Gaussian Pell-Lucas numbers. We also give the relationship between negadual-Gaussian Pell and Pell-Lucas numbers and dual-complex Pell and Pell-Lucas numbers.
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A Generalization of Gaussian Balancing and Gaussian Balancing‐Lucas Numbers With Applications
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this paper, we study a generalization of Gaussian balancing and Gaussian Lucas‐balancing numbers, we find their generating functions, Binet formulas, related matrix representation, and many other properties. Also, we provide some applications in cryptography.
T. Al-Asoully +2 more
wiley +1 more source
Coding theory on Pell-Lucas p numbers
Journal of Physics: Conference Series, 2019 Abstract In this paper, we developed a new coding and decoding method followed from Pell-Lucas p numbers SpAn. We established the relations among the code matrix elements for p = 1 and i=1, error detection and correction for this coding theory. Correction ability of this method is 93.33% for p = 1,i=1 and for p = 2,i=2
P. Sundarayya, M.G. Vara Prasad
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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 +2 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.The Lucas collocation approach is used in this study to approximate a fractional‐order financial crime model (FOFCM) numerically. The model categorizes the population into five groups: persons without a financial criminal past, those inclined toward financial crimes, active participants, individuals undergoing prosecution, and those imprisoned.
Mahmoud Abd El-Hady +4 more
wiley +1 more source