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This work proves a new theorem using symmetric functions to generate polynomial products, suggesting a new understanding of classical number sequences.
In this work, we prove a new theorem by using properties related to symmetric functions. All of the conclusions drawn in this work are based on this theorem. We introduce new generating functions for the product of Gaussian Pell and Padovan numbers, Gaussian Perrin numbers with (p, q)-numbers, and the product of earlier Gaussian numbers with bivariate polynomials.
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Hamek et al. (2025) studied this question.
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