Dirichlet Average of New Generalized M-series and Fractional Calculus

Abstract

Abstract

We know that every analytic function can be measured as a Dirichlet average and connected with fractional calculus. In this note, we set up a relation between Dirichlet average of new generalized M-series, and fractional derivative.  Fractional derivative is a derivative of arbitrary order i.e. may be real, complex, integer or fractional order.

Keywords: Dirichlet average new generalized M-series, fractional derivative, fractional calculus operators

Cite this Article

Manoj Sharma. Dirichlet Average of New Generalized M-series and Fractional Calculus. Research & Reviews: Discrete Mathematical Structures. 2016; 3(3): 13–16p.