- Tytuł:
- Fibonacci-like sequence associated with k-Pell, k-Pell-Lucas and Modified k-Pell sequences
- Autorzy:
-
Wani, A. A.
Bhat, S. A.
Rathore, G. P. S. - Powiązania:
- https://bibliotekanauki.pl/articles/122369.pdf
- Data publikacji:
- 2017
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
k-Pell sequence
k-Pell-Lucas sequence
modified k-Pell sequence
generalized Fibonacci sequence
uogólniony ciąg Fibonacciego
ciąg Fibonacciego
ciąg k-Pell
ciąg k-Pell-Lucas - Opis:
- Fibonacci sequence is a well known example of second order linear recurrence relatio. Besides Fibonacci numbers and their generalizations have many applications as well as interesting properties almost in every field of science such as in Physics, Biology, Mathematics (Algebra, Geometry and Number Theory itself). The main aim of the present article to introduce a generalization of Fibonacci sequence which is similar to k-Pell, k-Pell-Lucas, Modified k-Pell sequences and known as Fibonacci-Like sequence. After that we obtain some fundamental properties of Fibonacci-Like sequence such as Binet formulae of Fibonacci-Like sequence, binomial transform of the Fibonacci-Like sequence and sum of Fibonacci-Like numbers with indexes in an arithmetic sequence. In addition to this we obtain some new relations among k-Pell, k-Pell-Lucas, Modified k-Pell and Fibonacci-Like sequences.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 2; 159-171
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł