Article citationsMore >>

Vajda, S. Fibonacci and Lucas numbers and the golden section, Ellis Horwood Limited, Chi Chester, England, 1989.

has been cited by the following article:

Article

Diagonal Function of k-Lucas Polynomials

1School of Studies in Mathematics, Vikram University Ujjain, (M. P.) India

2Department of Mathematical Science and Computer applications, Bundelkhand University, Jhansi (U. P.) India


Turkish Journal of Analysis and Number Theory. 2015, Vol. 3 No. 2, 49-52
DOI: 10.12691/tjant-3-2-3
Copyright © 2015 Science and Education Publishing

Cite this paper:
Yogesh Kumar Gupta, V. H. Badshah, Mamta Singh, Kiran Sisodiya. Diagonal Function of k-Lucas Polynomials. Turkish Journal of Analysis and Number Theory. 2015; 3(2):49-52. doi: 10.12691/tjant-3-2-3.

Correspondence to: Yogesh  Kumar Gupta, School of Studies in Mathematics, Vikram University Ujjain, (M. P.) India. Email: yogeshgupta.880@rediffmail.com

Abstract

The Lucas polynomials are famous for possessing wonderful and amazing properties and identities. In this paper, Diagonal function of k-Lucas Polynomials is introduced and defined by Gn+1(x)=kxGn(x)+Gn-2,(x), n≥1. with G0(x)=2. and G1(x)=1 Some Lucas Polynomials, rising & descending diagonal function and generating matrix established and derived by standard methods.

Keywords