Abstract
In this work, we study a generalized interacting holographic dark energy model (GIHDEM) with a parameterized coupling constant in the spatially flat universe filled with the holographic dark energy (HDE) and dark matter (DM). More specifically, we introduce a new coupling parameter ξ(z)between HDE and DM as a function of redshift zwhich is parameterized by the well-known Chevalier-Polarski-Linder (CPL) parameterization and Wetterich one unlike other works. Our study shows that, for both parameterizations, there is a transition from a deceleration phase to an accelerated one for the universe which is in agreement with recent observations. It has been obtained that the present coincidence parameter value (~0.37) in GIHDEM with suitable choice of the coupling parameter.
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