论文标题
在四个涉及谐波数和中央二项式系数的电源系列系列的家族上
On four families of power series involving harmonic numbers and central binomial coefficients
论文作者
论文摘要
我们提出了涉及谐波数和中央二项式系数的几个序列。计算技术由一种特殊的求和方法组成，该方法允许基于适当的两值整数函数，以计算涉及奇数谐波数和中央二项式系数的幂序列的不同家族。此外，基于这些系列，可以根据ZETA函数计算涉及奇数谐波数的新型非线性Euler总和。
We present several sequences involving harmonic numbers and the central binomial coefficients. The calculational technique is consists of a special summation method that allows, based on proper two-valued integer functions, to calculate different families of power series which involve odd harmonic numbers and central binomial coefficients. Furthermore it is shown that based on these series a new type of nonlinear Euler sums that involve odd harmonic numbers can be calculated in terms of zeta functions.
