In our present research, we investigate a new class of polynomials which we call the associated polynomials. Firstly, we drive a general identity which generalizes the Laguerre transform of a sequence. More precisely, we give a three-term recurrence formula for calculating the associated polynomials. Secondly, as an application, we define the associated Fibonacci polynomials.




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 Guettai, Ghania, Laissaoui, Diffalah, Rahmani, Mourad