On Summing Formulas for Generalized Fibonacci and Gaussian Generalized Fibonacci Numbers
Advances in Research · pp. 1–15 · Published 10 Oct 2019
10.9734/air/2019/v20i230154Abstract
In this paper, closed forms of the summation formulas for generalized Fibonacci and Gaussian generalized Fibonacci numbers are presented. Then, some previous results are recovered as particular cases of the present results. As special cases, we give summation formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas numbers and Gaussian Fibonacci, Gaussian Lucas, Gaussian Pell, Gaussian Pell-Lucas, Gaussian Jacobsthal, Gaussian Jacobsthal-Lucas numbers.
Cited by 6
A. Wiwatwanich, W. Keawoun, D. Poltem · Asia Pacific Journal of Mathematics · 2026
Yüksel Soykan · Communications in Mathematics and Applications · 2021
Yüksel Soykan · Indian Journal of Pure and Applied Mathematics · 2021
Yüksel Soykan, Mehmet Gumus, Melih Gocen · Malaya Journal of Matematik · 2022
Yüksel SOYKAN · Universal Journal of Mathematics and Applications · 2020
Yüksel Soykan, Erkan Taşdemir, İnci Okumuş · Indian Journal of Pure and Applied Mathematics · 2022
Related research
- Closed Formulas for the Sums of Cubes of Generalized Fibonacci Numbers: Closed Formulas of Σn k=0W3 Σ k and n k=1W3 — shares topic coverage
- Some Properties of Generalized Fibonacci Numbers: Identities, Recurrence Properties and Closed Forms of the Sum Formulas ∑nk=0 xkWmk+j — shares topic coverage
- On Summing Formulas for Horadam Numbers — shares topic coverage
- Closed Formulas for the Sums of Squares of Generalized Fibonacci Numbers — shares topic coverage
- A Study on the Sums of Squares of Generalized Fibonacci Numbers: Closed Forms of the Sum Formulas Σn k=0 kxkW2 k and Σn k=1 kxkW2- k — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
6
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.