eng
Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
2015-05-04
3
2
49
52
10.12691/tjant-3-2-3
TJANT2015323
article
Diagonal Function of k-Lucas Polynomials
Yogesh Kumar Gupta
yogeshgupta.880@rediffmail.com
1
V. H. Badshah
1
Mamta Singh
2
Kiran Sisodiya
2
School of Studies in Mathematics, Vikram University Ujjain, (M. P.) India
Department of Mathematical Science and Computer applications, Bundelkhand University, Jhansi (U. P.) India
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.
http://pubs.sciepub.com/tjant/3/2/3/tjant-3-2-3.pdf
Lucas Polynomials
rising diagonal function
descending diagonal function and generating matrix