Symmetric identities on Bernoulli polynomials |
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Authors: | Amy M. Fu Iris F. Zhang |
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Affiliation: | a Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin 300071, People's Republic of China b Department of Mathematics, Nanjing University, Nanjing 210093, People's Republic of China |
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Abstract: | In this paper, we obtain a generalization of an identity due to Carlitz on Bernoulli polynomials. Then we use this generalized formula to derive two symmetric identities which reduce to some known identities on Bernoulli polynomials and Bernoulli numbers, including the Miki identity. |
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Keywords: | primary, 11B68 secondary, 05A19, 05A15 |
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