A generalization of the Bernoulli polynomials

Pierpaolo Natalini; Angela Bernardini

doi:10.1155/S1110757X03204101

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5 March 2003 A generalization of the Bernoulli polynomials

Pierpaolo Natalini, Angela Bernardini

J. Appl. Math. 2003(3): 155-163 (5 March 2003). DOI: 10.1155/S1110757X03204101

Abstract

A generalization of the Bernoulli polynomials and, consequently, of the Bernoulli numbers, is defined starting from suitable generating functions. Furthermore, the differential equations of these new classes of polynomials are derived by means of the factorization method introduced by Infeld and Hull (1951).

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Pierpaolo Natalini. Angela Bernardini. "A generalization of the Bernoulli polynomials." J. Appl. Math. 2003 (3) 155 - 163, 5 March 2003. https://doi.org/10.1155/S1110757X03204101