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The representation of Euler sums with parameters
Authors:Aijuan Li
Affiliation:School of Mathematics and Statistics, Shandong University of Technology, Zibo, PR China
Abstract:In this paper, by choosing different kernel functions and base functions, we obtain some Euler sums with parameters. Moreover, we also obtain the new Euler sums with parameters by differentiating, limiting and elementary arithmetic. Thus, more Euler sums with parameters can be obtained. Furthermore, some Euler sums given in this paper are closed forms.
Keywords:Euler sums  Lerch transcendent  Riemann zeta function  polylogarithm function
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