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Journal of Analysis & Number Theory
An International Journal


Volumes > Vol. 5 > No. 1


Dirichlet-Power Series

PP: 41-48
Hunduma Legesse Geleta,
In this paper we introduce and investigate a new type of series which we call a ”Dirichlet-power” series. This series includes both Dirichlet series and power series as a special case. It arose during the investigation of series representations of the second order hypergeometric zeta function. The Dirichlet-power series has many properties analogous to Dirichlet series. For a Dirichlet-power series we establish Domain of convergence and show the existence of zero free regions to the right half plane.

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