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Generalized Horadam-Leonardo Numbers and Polynomials

Generalized Horadam-Leonardo Numbers and Polynomials

In this study, we define and investigate some linear third order polynomials called the generalized Horadam-Leonardo polynomials (with its two special cases, namely), (r, s)-Horadam-Leonardo and (r, s)-Horadam-Leonardo-Lucas polynomials. We give Binet’s formulas, generating functions, Simson formulas, and the sumformulas for these polynomial sequences. Also, we present some identities and …