Research Article
Generalized Fibonacci Polynomials and some Identities
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 153 - Issue 12 |
| Published: Nov 2016 |
| Authors: G. P. S. Rathore, Omprakash Sikhwal, Ritu Choudhary |
10.5120/ijca2016911990
|
G. P. S. Rathore, Omprakash Sikhwal, Ritu Choudhary . Generalized Fibonacci Polynomials and some Identities. International Journal of Computer Applications. 153, 12 (Nov 2016), 4-8. DOI=10.5120/ijca2016911990
@article{ 10.5120/ijca2016911990,
author = { G. P. S. Rathore,Omprakash Sikhwal,Ritu Choudhary },
title = { Generalized Fibonacci Polynomials and some Identities },
journal = { International Journal of Computer Applications },
year = { 2016 },
volume = { 153 },
number = { 12 },
pages = { 4-8 },
doi = { 10.5120/ijca2016911990 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2016
%A G. P. S. Rathore
%A Omprakash Sikhwal
%A Ritu Choudhary
%T Generalized Fibonacci Polynomials and some Identities%T
%J International Journal of Computer Applications
%V 153
%N 12
%P 4-8
%R 10.5120/ijca2016911990
%I Foundation of Computer Science (FCS), NY, USA
Abstract
The Fibonacci polynomials and Lucas polynomials are famous for possessing wonderful and amazing properties and identities. Generalization of Fibonacci polynomial has been done using various approaches. One usually found in the literature that the generalization is done by varying the initial conditions. In this paper, Generalized Fibonacci polynomials are defined by Wn(X)=XWn-1(X)+Wn-2(X); n≥2 with W0(X)=2b and W1(X) = a+b, where a and b are integers. Further, some basic identities are generated and derived by generating function.
References
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