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- Title
A Note on D'Ocagne's Identity on Generalized Fibonacci and Lucas numbers.
- Authors
P., Dhanya.; Nagaraja, K. M.; Reddy, P. Siva Kota
- Abstract
The Fibonacci sequence has been generalized in many ways, some by preserving the initial conditions, and others by preserving the recurrence relation. The Fibonacci sequence, Lucas numbers and their generalization have many interesting properties and applications to almost every field. In this note, the D'Ocagne's identity for the generalized Fibonacci and Lucas sequences is established in terms of log convex identity of generalized Fibonacci and Lucas sequence by using mathematical induction.
- Subjects
LUCAS numbers; FIBONACCI sequence; MATHEMATICAL induction; MATHEMATICAL sequences
- Publication
Palestine Journal of Mathematics, 2021, Vol 10, Issue 2, p751
- ISSN
2219-5688
- Publication type
Article