I need the name of a Hitachi TX26D60VC1CAB panels connector (picture included)
What you are looking for is a 1mm pitch mezzanine type connector for board-to-board connections.

Without more measurements of the connector dimensions it is hard to give an exact part number. However you can use distributer websites search tools to try and find similar connectors.

The following DigiKey Search reveals 34 connectors in stock that seem to match your description (i.e. 31 pins, 1mm pitch, mezzanine connector). Several of those appear from a cursory glance to be a similar series of connector.

Hirose part DF9-31S-1V, or Harwin part M40-6203146 appear to be promising.