Full Paper View Go Back

Matrix Modelling of Extended Generalized Fibonacci Polynomial

Vaishali Billore1 , Naresh Patel2

  1. Department of Applied Mathematics Institute of Engineering & Technology Indore (M.P.), India.
  2. Department of Mathematics Government Holkar (Model, Autonomous) Science College, Indore (M.P.), India.

Section:Research Paper, Product Type: Journal-Paper
Vol.9 , Issue.6 , pp.61-64, Dec-2022


Online published on Dec 31, 2022


Copyright © Vaishali Billore, Naresh Patel . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: Vaishali Billore, Naresh Patel, “Matrix Modelling of Extended Generalized Fibonacci Polynomial,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.9, Issue.6, pp.61-64, 2022.

MLA Style Citation: Vaishali Billore, Naresh Patel "Matrix Modelling of Extended Generalized Fibonacci Polynomial." International Journal of Scientific Research in Mathematical and Statistical Sciences 9.6 (2022): 61-64.

APA Style Citation: Vaishali Billore, Naresh Patel, (2022). Matrix Modelling of Extended Generalized Fibonacci Polynomial. International Journal of Scientific Research in Mathematical and Statistical Sciences, 9(6), 61-64.

BibTex Style Citation:
@article{Billore_2022,
author = {Vaishali Billore, Naresh Patel},
title = {Matrix Modelling of Extended Generalized Fibonacci Polynomial},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2022},
volume = {9},
Issue = {6},
month = {12},
year = {2022},
issn = {2347-2693},
pages = {61-64},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3033},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3033
TI - Matrix Modelling of Extended Generalized Fibonacci Polynomial
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Vaishali Billore, Naresh Patel
PY - 2022
DA - 2022/12/31
PB - IJCSE, Indore, INDIA
SP - 61-64
IS - 6
VL - 9
SN - 2347-2693
ER -

106 Views    112 Downloads    26 Downloads
  
  

Abstract :
In this paper, We Introduced Extended Generalized Fibonacci Polynomials. Further, described the matrix modelling of Extended Generalized Fibonacci Polynomial, Classical Fibonacci Polynomial, Lucas Polynomial, Pell Polynomial, Pell-Lucas Polynomial, Vieta Polynomial and Vieta-Lucas Polynomial.

Key-Words / Index Term :
Extended Gibonacci Polynomial, Fibonacci Polynomial, Lucas Polynomial, Vieta Polynomial.

References :
[1] T. Koshy, Fibonacci and Lucas number with application, Volume II, Wiley Hoboken, new Jersey, 2019.
[2] T. Koshy, Fibonacci and Lucas Numbers with Applications, Toronto, New York, NY, USA, 2001.
[3] M. N. S. Swamy, Problem B 74, The Fibonacci Quarterly, Vol.3, Issue.3, pp.236, 1965.
[4] V. E. Hoggatt, Jr., Leonard, H. T. Jr. and Philips, J. W., Twentyfour Master Identities, The Fibonacci Quarterly, 9, pp.1-17, 1971.
[5] Alexandru Lupas, A Guide of Fibonacci and Lucas Polynomial, Octagon Mathematics Magazine, Vol.7, Issue.1, pp.2-12, 1999.
[6] Christian Berg, Fibonacci numbers and orthogonal polynomials, Arab Journal of Mathematical Sciences, 17, pp.75-88, 2011.
[7] S. Falcon and A. Plaza, On k-Fibonacci sequences and polynomials and their derivatives, Chaos, Solitons and Fractals, 39, pp.1005-1019, 2009.
[8] K. Kaygisiz and A. Sahin, New Generalizations of Lucas Numbers, Gen. Math. Notes, Vol.10, Issue.1, pp.63-77, 2012.
[9] V. Billore and N. Patel, Extended Gibonacci Polynomial with Determinant Identities, Design Engineering, 8, pp.7201–7209, 2021.
[10] V. Kaladevi and C. Dhevaki, Matrix Modelling of 2 - (MY)^p sequence, Bulletin of Pure and Applied Sciences, Vol.31, Issue.2, pp.175-179, 2012.
[11] V. Kaladevi and C. Dhevaki, Matrix Modelling of Generalized Fibonacci Like Polynomials, Bulletin of Pure and Applied Sciences, Vol.33, Issue.2, pp.95-103, 2014.
[12] V. Kaladevi and C. Dhevaki, Matrix Modelling of Pell-Lucas-Kala Polynomials, Bulletin of Pure and Applied Sciences, Vol.33, Issue.2, pp.157-160, 2014.

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation