Fractional calculus of the Lerch zeta function – part II
Copyright policy )Fractional calculus of the Lerch zeta function – part II
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.
- Kean University United States
- Wenzhou-Kean University China (People's Republic of)
Lerch zeta function, Fractional derivatives and integrals, distribution of zeros, Grünwald-Letnikov fractional derivative, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Hurwitz and Lerch zeta functions, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, mean square, zero-free region
Lerch zeta function, Fractional derivatives and integrals, distribution of zeros, Grünwald-Letnikov fractional derivative, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Hurwitz and Lerch zeta functions, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, mean square, zero-free region
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