Fractional Order Riemann Zeta Factorial Function: A Recent Study

Authors

  • G. Britto Antony Xavier Department of Mathematics, Sacred Heart College, Tirupattur, Vellore - 635601, Tamil Nadu, India.
  • T. Sathinathan Department of Mathematics, Sacred Heart College, Tirupattur, Vellore - 635601, Tamil Nadu, India.
  • D. Arun Department of Mathematics, Sacred Heart College, Tirupattur, Vellore - 635601, Tamil Nadu, India.

DOI:

https://doi.org/10.9734/bpi/tpmcs/v10/7734D

Keywords:

Riemann zeta factorial function, fractional order, natural numbers, harmonic series

Abstract

The purpose of this article is to apply zeta factorial function theory to fractional order Riemann zeta ?factorial function. Several formulae on the fractional order Riemann zeta factorial function can be obtained using the inverse principle of the generalised difference operator. Findings are numerically validated using appropriate examples.

Published

2021-05-10

How to Cite

G. Britto Antony Xavier, T. Sathinathan, & D. Arun. (2021). Fractional Order Riemann Zeta Factorial Function: A Recent Study. Theory and Practice of Mathematics and Computer Science Vol. 10, 27–33. https://doi.org/10.9734/bpi/tpmcs/v10/7734D

Issue

Theory and Practice of Mathematics and Computer Science Vol. 10

Section

Chapters