Results 11 to 20 of about 3,260,729 (219)

The Properties of Binomial Transforms for Modified (s,t)-Pell Matrix Sequence

Communications in Advanced Mathematical Sciences
In this study, we investigate a generalization of the modified Pell sequence, which is called $(s,t)$-modified Pell sequence. By considering this sequence, we define the matrix sequence whose elements are $(s,t)$-modified Pell numbers.
Şükran Uygun, Ozan Haklıdır
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On Binomial Transform of the Generalized Fifth Order Pell Sequence

Asian Journal of Advanced Research and Reports, 2021
In this paper, we define the binomial transform of the generalized fifth order Pell sequence and as special cases, the binomial transform of the fifth order Pell and fifth order Pell-Lucas sequences will be introduced.
Yüksel Soykan, Soykan, Yüksel
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Matrix Manipulations for Properties of Pell p-Numbers and their Generalizations [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
© 2020 Özgür Erdaǧ et al., published by Sciendo 2020. In this paper, we define the Pell-Pell p-sequence and then we discuss the connection of the Pell-Pell p-sequence with Pell and Pell p-sequences.
Shannon, AG, Deveci Ö, Erdaǧ Ö
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Fermat and Mersenne numbers in $k$-Pell sequence

Математичні 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. Togbé
semanticscholar   +3 more sources

Bi-Periodic Pell Sequence [PDF]

Academic Journal of Applied Mathematical Sciences, 2020
In this study, we introduce a new generalization of the Pell numbers which is called bi-periodic Pell sequences. We then proceed to find the Binet formula as well as the generating function for this sequence.
S. Uygun, H. Karataş
semanticscholar   +2 more sources

Binomial Transform of the Generalized Fourth Order Pell Sequence

Archives of Current Research International, 2021
In this study, we define the binomial transform of the generalized fourth order Pell sequenceand as special cases, the binomial transform of the fourth order Pell and fourth order Pell-Lucassequences will be introduced. We investigate their properties in
Yüksel Soykan
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The Complex-Type k-Pell Numbers and Their Applications

Journal of Mathematics, 2023
In this study, a new sequence called the complex-type k-Pell number is defined. Also, we give properties of this sequence such as the generating matrix, the generating function, the combinatorial representations, the exponential representation, the sums,
Yeşim Aküzüm
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On hyperbolic k-Pell quaternions sequences [PDF]

Annales Mathematicae et Informaticae, 2018
In this paper we introduce the hyperbolic k-Pell functions and new classes of quaternions associated with this type of functions are presented.
Catarino, Paula
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The generalized order-k Fibonacci–Pell sequence by matrix methods

, 2007
In this paper, we consider the usual and generalized order-k Fibonacci and Pell recurrences, then we define a new recurrence, which we call generalized order-k F–P sequence.
Kilic, Emrah
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Complex Dynamics of Pell Sequence

International Journal of Computer Applications, 2010
Binet formula for Pell sequence is viewed as a function of complex variable. In this paper the study of attracting and repelling fixed points of Pell sequence is presented with the complex dynamics resulting in the escape time images. A study of orbits of the Binet type formula is presented in the paper.
Rajeshri Rana, Y. S. Chauhan, A. Negi
semanticscholar   +2 more sources