Affiliation:
1. College of Science, Mathematics and Technology Wenzhou‐Kean University Wenzhou China
2. School of Mathematical Sciences Kean University 1000 Morris Avenue, 07083 Union NJ USA
Abstract
This paper concerns the fractional derivative of the Lerch zeta function. The author already dealt with its functional equation. He reduced its computational cost and proved an approximate functional equation for this fractional derivative. Here, we study the mean square of this fractional derivative. Moreover, we deal with the distribution of zeros, showing some zero‐free regions.
Subject
General Engineering,General Mathematics
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