Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums |
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Authors: | Hongmei Liu |
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Institution: | a School of Science, Dalian Nationalities University, Dalian 116600, PR China b Department of Mathematics, Nanjing University, Nanjing 210093, PR China |
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Abstract: | In this paper, by the generating function method, we establish various identities concerning the (higher order) Bernoulli polynomials, the (higher order) Euler polynomials, the Genocchi polynomials and the degenerate higher order Bernoulli polynomials. Particularly, some of these identities are also related to the power sums and alternate power sums. It can be found that, many well known results, especially the multiplication theorems, and some symmetric identities demonstrated recently, are special cases of our results. |
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Keywords: | Bernoulli polynomials Euler polynomials Genocchi polynomials Power sums Alternate power sums Combinatorial identities |
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