Chief Minister Vijay Rupani had decided to set up an SIT which would be headed by Inspector General of Police (IGP) Narsimha Komar, said Minister of State for Home Pradeepsinh Jadeja.
Other members of the SIT would be retired additional secretary Kirit Adhvaryu and IPS officer Makrand Chauhan, Jadeja said.
The SIT will submit its report after a thorough probe by March 31, he said.
Vankar (62), was associated with the Rashtriya Dalit Adhikar Manch.
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Vankar had alleged earlier that authorities were not heeding the family's just demand for several years.
He died at a private hospital in Ahmedabad the next day.
The death triggered violent protests in several parts of state, including Ahmedabad.