GA pilot reported while taking off at a non-towered airport; an NMAC occurred involving an opposite direction landing aircraft.

Narrative

Departing Rwy 16 at GOK (Guthrie;OK) immediately after rotation and liftoff; there was a helicopter coming directly at me from the opposite direction. I took evasive action by turning right and increasing my climb rate. The helicopter also took evasive action by turning to his right. The wind was approx. 190/09; so rwy 16 was the appropriate rwy. I made a call prior to taking the rwy that I was departing Rwy 16. I scanned both ends of the rwy and it was clear. However; when departing rwy 16 at GOK it is not possible to see the other end of the rwy; due to the crown of the runway. I think the Helicopter was too low for me to see while I was still on the ground. I talked to the airport staff after landing; we listened to the recorded radio transmissions; and they confirmed there was no radio call from the helicopter. A simple call from the helicopter pilot that he was on approach to rwy 34 would have avoided this near-miss; as I would have delayed my takeoff until the helicopter was clear.