Actually.. its just a PATA connection. But your laptop HDD comes with a bracket which will have a dongle or connector which converts it to this interface. However almost all major laptop manufacturers use this kind of connectors. No one install the bare HDD in the laptop. a bracket is somewhat mandatory.
Yes that's right! It's a 44pin PATA IDE interface.
The mounting bracket most likely has this type of connector / adapter which then plugs into the back of the 2.5" 44pin PATA IDE notebook HDD.
So you just need to find the right bracket with the adapter.
What is the exact name and model of the laptop?