Combinatorial identities for Appell polynomials
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Using the techniques of the modern umbral calculus, we derive several combinatorial identities involving s-Appell polynomials. In particular, we obtain identities for classical polynomials, such as the Hermite, Laguerre, Bernoulli, Euler, N?rlund, hypergeometric Bernoulli, and Legendre polynomials. Moreover, we obtain a generalization of Carlitz's identity for Bernoulli numbers and polynomials to arbitrary symmetric s-Appell polynomials.
combinatorial identities, Exact enumeration problems, generating functions, binomial coefficients, Combinatorial sums, umbral calculus, orthogonal polynomials, formal series, generating functions, Umbral calculus, umbral calculus, Appell polynomials, Combinatorial identities, bijective combinatorics
combinatorial identities, Exact enumeration problems, generating functions, binomial coefficients, Combinatorial sums, umbral calculus, orthogonal polynomials, formal series, generating functions, Umbral calculus, umbral calculus, Appell polynomials, Combinatorial identities, bijective combinatorics
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