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arXiv · 2006.01046

Fractional differential relations for the Lerch zeta function

Arran Fernandez·Jean-Daniel Djida
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Abstract

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.

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Arran Fernandez, Jean-Daniel Djida. 2020-05-22. Fractional differential relations for the Lerch zeta function. https://arxiv.org/abs/2006.01046

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