|
|
 |
| |
|
|
|
Dirichlet-Power Series |
|
|
|
PP: 41-48 |
|
|
|
doi:10.18576/jant/050107
|
|
|
|
Author(s) |
|
|
|
Hunduma Legesse Geleta,
|
|
|
|
Abstract |
|
|
| 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. |
|
|
|
|
|
|
|
