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On Pell Quaternions and Pell-Lucas Quaternions [PDF]

open access: yesAdvances in Applied Clifford Algebras, 2016
WOS:000370339300004The main object of this paper is to present a systematic investigation of new classes of quaternion numbers associated with the familiar Pell and Pell-Lucas numbers.
Çimen, CENNET   +5 more
exaly   +2 more sources

Gaussian Pell-Lucas Polynomials [PDF]

open access: yesCommunications in Mathematics and Applications, 2019
Yağmur, Tülay ( Aksaray, Yazar )In this paper, we first define the Gaussian Pell-Lucas polynomial sequence. We then obtain Binet formula, generating function and determinantal representation of this sequence.
Tulay Yagmur
exaly   +2 more sources

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.
Şahsene Altınkaya   +2 more
openaire   +2 more sources

Pell Numbers, Pell–Lucas Numbers and Modular Group

Algebra Colloquium, 2007
We show that the matrix A(g), representing the element g = ((xy)2(xy2)2)m (m ≥ 1) of the modular group PSL(2,Z) = 〈x,y : x2 = y3 = 1〉, where [Formula: see text] and [Formula: see text], is a 2 × 2 symmetric matrix whose entries are Pell numbers and whose trace is a Pell–Lucas number. If g fixes elements of [Formula: see text], where d is a square-free
Q. Mushtaq, U. Hayat
openaire   +1 more source

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