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Reseach Article

Generalized Fibonacci Polynomials and some Identities

by G. P. S. Rathore, Omprakash Sikhwal, Ritu Choudhary
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 153 - Number 12
Year of Publication: 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 },
issue_date = { Nov 2016 },
volume = { 153 },
number = { 12 },
month = { Nov },
year = { 2016 },
issn = { 0975-8887 },
pages = { 4-8 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume153/number12/26539-2016911990/ },
doi = { 10.5120/ijca2016911990 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:58:55.866949+05:30
%A G. P. S. Rathore
%A Omprakash Sikhwal
%A Ritu Choudhary
%T Generalized Fibonacci Polynomials and some Identities
%J International Journal of Computer Applications
%@ 0975-8887
%V 153
%N 12
%P 4-8
%D 2016
%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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Index Terms

Computer Science
Information Sciences

Keywords

Fibonacci polynomial Lucas polynomial Generalized Fibonacci polynomial Generating function