Fibonacci-Like Polynomials and Some Properties

Abstract

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The Fibonacci and generalized Fibonacci polynomials are famous for possessing wonderful and amazing properties and identities. In this paper, we introduce Fibonacci-Like polynomials (FLP) and describe some properties. We obtain few properties by defined Fibonacci-Like polynomials - matrix. Further we establish few identities like Catalans, Cassinis, dOcagnes through Binets formula and few identities by using explicit summation formula which are related to hypergeometric functions of FLP.