论文标题
Lerch Zeta功能的分数差异关系
Fractional differential relations for the Lerch zeta function
论文作者
论文摘要
从最近表达Lerch Zeta函数作为分数衍生物的结果开始，我们考虑了相对于不同变量的Lerch Zeta函数的进一步分数衍生物。我们建立了一个部分微分方程，涉及一系列无限的分数衍生物，该方程是由Lerch Zeta函数满足的。
Starting from a recent result expressing the Lerch zeta function as a fractional derivative, we consider further fractional derivatives of the Lerch zeta function with respect to different variables. We establish a partial differential equation, involving an infinite series of fractional derivatives, which is satisfied by the Lerch zeta function.
