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On Appell sequences of polynomials of Bernoulli and Euler type
Authors:Piergiulio Tempesta
Institution:Centro di Ricerca Matematica “Ennio De Giorgi”, Scuola Normale Superiore, Piazza dei Cavalieri 3, I-56100 Pisa, Italy
Abstract:A construction of new sequences of generalized Bernoulli polynomials of first and second kind is proposed. These sequences share with the classical Bernoulli polynomials many algebraic and number theoretical properties. A class of Euler-type polynomials is also presented.
Keywords:Generalized Bernoulli polynomials  Finite operator theory  Appell sequences
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