An algorithm for computing mixed sums of products of Bernoulli polynomials and Euler polynomials

作者：Feng Lei; Wang Weiping^*

来源：Journal of Symbolic Computation, 2015, 66: 84-97.

DOI：10.1016/j.jsc.2014.01.008

• Bernoulli polynomials
• Euler polynomials
• Generating functions
• Partial fraction decompositions
• Sums of products

In this paper, by the methods of partial fraction decomposition and generating function, we give an algorithm for computing mixed sums of products of I Bernoulli polynomials and k - 1 Euler polynomials, which are of the form
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where lambda = (lambda(1),..,lambda(k)), and lambda(1),..,lambda(k) are nonzero rational numbers. Moreover, some special sums are presented as examples.

• 出版日期2015-2
• 单位浙江理工大学