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A new formula for the coefficients of Gaussian polynomials

A new formula for the coefficients of Gaussian polynomials

Abstract We deduce exact integral formulae for the coefficients of Gaussian, multinomial and Catalan polynomials. The method used by the authors in the papers [2, 3, 4] to prove some new results concerning cyclotomic and polygonal polynomials, as well as some of their extensions is applied.