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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), nâ¥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.
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Gupta et al. (2016) studied this question.
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