C-polynomials and LC-functions: towards a generalization of the Hurwitz zeta function

Let f ( t ) = ∑ n = 0 + ∞ C f , n n ! t n be an analytic function at 0, and let C f , n ( x ) = ∑ k = 0 n n k C f , k x n - k be the sequence of Appell polynomials, referred to as C-polynomials associated to f , constructed from the sequence of coefficients C f , n . We also define P f , n ( x ) as...

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