Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Computational Analysis of Generalized Zeta Functions by Using Difference Equations

Version 1 : Received: 5 November 2020 / Approved: 6 November 2020 / Online: 6 November 2020 (15:52:04 CET)

How to cite: Tassaddiq, A. Computational Analysis of Generalized Zeta Functions by Using Difference Equations. Preprints 2020, 2020110249 (doi: 10.20944/preprints202011.0249.v1). Tassaddiq, A. Computational Analysis of Generalized Zeta Functions by Using Difference Equations. Preprints 2020, 2020110249 (doi: 10.20944/preprints202011.0249.v1).

Abstract

In this article, author performs computational analysis for the generalized zeta functions by using computational software Mathematica. To achieve the purpose recently obtained difference equations are used. These difference equations have a computational power to compute these functions accurately while they can not be computed by using their known integral represenations. Several authors investigated such functions and their analytic properties, but no work has been reported to study the graphical representations and zeors of these functions. Author performs numerical computations to evaluate these functions for different values of the involved parameters. Taylor series expansions are also presented in this research.

Subject Areas

computational analysis; difference equations; analytic number theory; generalized zeta function; plots; zeros; Taylor Series

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