Generalized Horadam-Leonardo Numbers and Polynomials
In this study, we delineate and investigate some undeviating third order polynomials named the generalized Horadam-Leonardo polynomials (with allure two special cases, namely), (r, s)-Horadam-Leonardo and (r, s)-Horadam-Leonardo-Lucas polynomials. We present Binet’s formulas, generating functions, Simson formulas, and the total formulas for these polynomial sequences. Also, we present some identities and matrices had connection with these polynomials. Furthermore, we present some special cases of statement Horadam-Leonardo polynomials, namely, statement Leonardo, generalized John, generalized Ernst, statement Pisano, generalized Edouard and statement Bigollo numbers.
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