Abstract
<jats:p>This paper introduces the Fibonacci polynomial triangle, inspired by the structure of the Hosoya triangle and constructed using Fibonacci polynomials. We then present and rigorously prove a series of novel identities and fundamental properties specifically associated with this Fibonacci polynomial triangle. These findings contribute to a deeper understanding of the algebraic structures and combinatorial patterns that emerge when Fibonacci polynomials are organized in such a triangular fashion, revealing new relationships and characteristics within this framework. This exploration aims to further elucidate the rich interplay between polynomial sequences and triangular constructions.</jats:p>
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Keywords
fibonacci
polynomial
triangle
polynomials
triangular