Matrix Manipulations for Properties of Pell p-Numbers and their Generalizations
2020 ◽
Vol 28
(3)
◽
pp. 89-102
AbstractIn 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. Also, we provide a new Binet formula and a new combinatorial representation of the Pell-Pell p-numbers by the aid of the nth power of the generating matrix the Pell-Pell p-sequence. Furthermore, we obtain an exponential representation of the Pell-Pell p-numbers and we develop relationships between the Pell-Pell p-numbers and their permanent, determinant and sums of certain matrices.
2021 ◽
Vol 27
(1)
◽
pp. 148-160
2021 ◽
Vol 27
(2)
◽
pp. 70-78
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2017 ◽
2020 ◽
Vol 1
(3)
◽
pp. 112-122
2011 ◽
Vol 26
(1)
◽
pp. 117-128
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