Binomial transforms of the balancing and Lucas-balancing polynomials
In this study, we define the binomial transforms of balancing and Lucas-balancing polynomials. Also, the generating functions, Binet formulas, and summations of these transforms are found by recurrence relations. Furthermore, we establish the relations between these transforms by deriving new formulas. Finally, we obtain the Catalan and Cassini formulas for these transforms.
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