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Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus

Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus

In this paper, we derive the identities of higher-order Bernoulli, Euler and Frobenius-Euler polynomials from the orthogonality of Hermite polynomials. Finally, we give some interesting and new identities of several special polynomials arising from umbral calculus. MSC: 05A10, 05A19.