论文标题
涉及Digamma函数的有限和无限的超几何总和
Finite and infinite hypergeometric sums involving the digamma function
论文作者
论文摘要
我们计算一些有限和无限的总和，这些总和包含封闭形式中的Digamma函数。为此，我们根据应用Pochhammer符号的某些衍生公式的参数区分了超几何函数的选定还原公式。同样，我们比较了广义超几何函数的两个不同分化公式相对于参数。在某些特定情况下，我们恢复了文献中发现的一些结果。最后，所有结果均已数值检查。
We calculate some finite and infinite sums containing the digamma function in closed-form. For this purpose, we differentiate selected reduction formulas of the hypergeometric function with respect to the parameters applying some derivative formulas of the Pochhammer symbol. Also, we compare two different differentiation formulas of the generalized hypergeometric function with respect to the parameters. For some particular cases, we recover some results found in the literature. Finally, all the results have been numerically checked.
