Research Article
Some Identities of Multiplicative Coupled Fibonacci Sequences
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 63 - Issue 12 |
| Published: February 2013 |
| Authors: Bijendra Singh, Shikha Bhatnagar, Omprakash Sikhwal |
10.5120/10516-5489
|
Bijendra Singh, Shikha Bhatnagar, Omprakash Sikhwal . Some Identities of Multiplicative Coupled Fibonacci Sequences. International Journal of Computer Applications. 63, 12 (February 2013), 7-9. DOI=10.5120/10516-5489
@article{ 10.5120/10516-5489,
author = { Bijendra Singh,Shikha Bhatnagar,Omprakash Sikhwal },
title = { Some Identities of Multiplicative Coupled Fibonacci Sequences },
journal = { International Journal of Computer Applications },
year = { 2013 },
volume = { 63 },
number = { 12 },
pages = { 7-9 },
doi = { 10.5120/10516-5489 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2013
%A Bijendra Singh
%A Shikha Bhatnagar
%A Omprakash Sikhwal
%T Some Identities of Multiplicative Coupled Fibonacci Sequences%T
%J International Journal of Computer Applications
%V 63
%N 12
%P 7-9
%R 10.5120/10516-5489
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In the recent years, there has been much interest in development of coupled Fibonacci sequences. The concept of coupled Fibonacci sequences was first introduced by Atanassov, K. T. in 1985. He deliberated multiplicative coupled Fibonacci sequences of second order in 1995. Multiplicative coupled Fibonacci sequences are less known. In this paper we present some identities of multiplicative coupled Fibonacci sequences of second order under three specific schemes.
References
- Atanassov, K. T. , Atanassov, L. C. and Sasselov, D. D. , 1985. A New Perspective to the Generalization of the Fibonacci Sequence, The Fibonacci Quarterly, Vol. 23, No. 1, 21-28.
- Atanassov, K. T. , 1995. Remark on a New Direction for a Generalization of the Fibonacci Sequence, The Fibonacci Quarterly, Vol. 33, No. 3, 249-250.
- Atanassov, K T. , Atanassov V. , Shannon A. and Turner J. , 2002. New Visual Perspective On Fibonacci Number, World Scientific Publishing Company, Singapore.
- Rathore, G. P. S. , Jain, S. and Sikhwal, O. , 2012. Multiplicative Coupled Fibonacci Sequences of Third Order, International Journal of Contemporary Mathematical Sciences, Vol. 7, No. 31, 1535 – 1540.
- Singh, B. and Sikhwal, O. , 2010. Multiplicative Coupled Fibonacci Sequences and Some Fundamental Properties, International Journal of Contemporary Mathematical Sciences, Vol. 5, No. 5, 223-230.
- Sikhwal, O. 2012. Generalization of Fibonacci sequence: An Intriguing Sequence, Lap Lambert Academic Publishing GmbH & Co. KG, Germany.
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