Abstract
In this paper, based on the (p, q)-Fibonacci polynomials and (p, q)-Lucas polynomials , we introduce the convolved (p, q)-Fibonacci polynomials , which generalize the convolved Fibonacci numbers, the convolved Pell polynomials, and the Gegenbauer polynomials. We give the expressions, expansions, recurrence relations and differential recurrence relations of , and establish the relations between , and . Moreover, we also study the determinantal representations of and , and present an algebraic interpretation of the polynomials .
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