An explicit formula for the generalized Bernoulli polynomials (Q1090453)
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scientific article; zbMATH DE number 4006683
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An explicit formula for the generalized Bernoulli polynomials |
scientific article; zbMATH DE number 4006683 |
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An explicit formula for the generalized Bernoulli polynomials (English)
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1988
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The authors prove a new explicit formula for the generalized Bernoulli polynomials. The main result, expressing these polynomials in terms of the Gaussian hypergeometric function, provides an interesting extension of a representation for the generalized Bernoulli numbers given recently by \textit{P. G. Todorov} [C. R. Acad. Sci., Paris, Sér. I 301, 665-666 (1985; Zbl 0606.10008)]. This transition and several other connections are also indicated.
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Bernoulli polynomials
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Bernoulli numbers
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