Fractional calculus of the Lerch zeta function – part II
Emanuel Guariglia
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.
Topics & Concepts
Fractional calculusMathematicsDerivative (finance)Zero (linguistics)Functional equationApplied mathematicsDistribution (mathematics)Calculus (dental)Mathematical analysisDifferential equationMedicineDentistryFinancial economicsLinguisticsEconomicsPhilosophyAnalytic Number Theory ResearchAdvanced Mathematical IdentitiesMathematical Dynamics and Fractals