k-Pell, k-Pell-Lucas and modified k-Pell numbers: some identities and norms of Hankel matrices
نویسندگان
چکیده
منابع مشابه
k-Pell, k-Pell-Lucas and Modified k-Pell Numbers: Some Identities and Norms of Hankel Matrices
In this paper we present some identities involving terms of k-Pell, k-Pell-Lucas and Modified k-Pell sequences. We also give some results on the column and row norms of Hankel matrices which entries are numbers of these sequences. Mathematics Subject Classification: 11B37, 11B83, 15A60
متن کاملA Note Involving Two-by-Two Matrices of the k-Pell and k-Pell-Lucas Sequences
We use a diagonal matrix for getting the Binet’s formula for k-Pell sequence Also the n power of the generating matrix for k-Pell-Lucas sequence is established and basic properties involving the determinant allow us to obtain its Cassini’s identity. Mathematics Subject Classification: 11B37, 05A15, 11B83.
متن کاملOn Some Identities and Generating Functions for k- Pell Numbers
We obtain the Binet’s formula for k-Pell numbers and as a consequence we get some properties for k-Pell numbers. Also we give the generating function for k-Pell sequences and another expression for the general term of the sequence, using the ordinary generating function, is provided. Mathematics Subject Classification: 11B37, 05A15, 11B83.
متن کاملModified k-Pell Sequence: Some Identities and Ordinary Generating Function
Some identities of the k-Pell-Lucas sequence and their relationship to the Modified k-Pell sequence allow us to obtain some identities for Modified k-Pell numbers. Also the ordinary generating function for the Modified k-Pell sequence and another expression for the general term of the sequence, using the ordinary generating function, is provided. Mathematics Subject Classification 2010: 11B37, ...
متن کاملOn Pell, Pell-Lucas, and balancing numbers
In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the relationships between them. We also deduce some formulas on the sums, divisibility properties, perfect squares, Pythagorean triples involving these numbers. Moreover, we obtain the set of positive integer solutions of some specific Pell equations in terms of the integer sequences mentioned in the text.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Mathematical Analysis
سال: 2015
ISSN: 1314-7579
DOI: 10.12988/ijma.2015.411370