On some identities and Hankel matrices norms involving new defined generalized modified pell numbers

The aim of this paper is to introduce a generalization of Modified Pell numbers. Some identities about this new sequence are obtained and also investigated some relationships with another sequence. Finally, using these sequences the row and column norms of the Hankel matrices are presented.

Keywords:

Modified Pell Numbers, Hankel Matrices Matrix Norms,

PDF

___

A. F. Horadam, Jacobsthal representation numbers, Fibonacci Quarterly, 34, (1996) 40–54.
T. Koshy, Fibonacci and Lucas numbers with applications, John Wiley and Sons Inc., New York, 2001.
G. K. Panda, Sequence balancing and cobalancing numbers, Fibonacci Quarterly, 45, (2007) 265–271.
A. F. Horadam, Pell identities, Fibonacci Quarterly, 9, (1971) 245–252.
S. Halici, On some inequality and Hankel matrices involving Pell, Pell Lucas numbers, Mathematical Reports, 15, (2013) 1–10.
G. Bilgici, New generalizations of Fibonacci and Lucas numbers, Applied Mathematical Sciences, 8, (2014) 1429–1437.
S. Falcon, A. Plaza, On the Fibonacci k-numbers, Chaos Solitions and Fractals, 32, (2007) 1615–1624.
A. Szynal-Liana, , A. Wloch, I. Wloch, On generalized Pell numbers generated by Fibonacci and Lucas numbers, Ars Combinatoria, 115, (2014) 411–423.
D. Tasci , E. Sevgi , Bi-periodic balancing numbers, Journal of Science and Arts, 50, (2020) 75–84.
O.M. Yayenie, A. Edson, New generalization of Fibonacci sequences and extended Binet’s formula, Integers, 9, (2009) 639–654.
L. Trojnar-Spelina, I. Wloch, On generalized Pell and Pell Lucas numbers, Iranian Journal of Science and Technology, Transactions A: Science, 43, (2019) 2871–2877.
P. Vasco, P. Catarino, H. Campos„ A. P. Aires, A. Borges, k-Pell, k-Pell-Lucas and modified k-Pell Numbers: Some identities and norms of Hankel matrices, International Journal of Mathematical Analysis, 9,(2015) 31-37.

ISSN: 1304-7981
Yayın Aralığı: Yılda 3 Sayı
Başlangıç: 2012
Yayıncı: Tokat Gaziosmanpaşa Üniversitesi

Arşiv