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Using notions of composita and composition of generating functions we obtainexplicit formulas for Chebyshev polynomials, Legendre polynomials, Gegenbauerpolynomials, Associated Laguerre polynomials, Stirling polynomials, Abelpolynomials, Bernoulli Polynomials of the Second Kind, Generalized Bernoullipolynomials, Euler Polynomials, Peters polynomials, Narumi polynomials, Humbertpolynomials, Lerch polynomials and Mahler polynomials.

Application of a composition of generating functions for obtaining explicit formulas of polynomials