Car intermittently stalls in first gear

Intermittent loss of power in first gear. I start the car and at some point early on I get an alarm and the problem persists until I shut it off for a while. It has been in the shop five times in an effort to find this. The throttle control has been replaced as was the computer. After the computer was replaced it failed two more times than went approximately 2,000 miles before it started up again.
I started the car and pulled out into the street and it was not until I had gone several hundred feet that the alarm came in. I opted not to pull into the busy street but driving the back streets playing with the problem. It does not fail instantly, the car starts forward like it should for half a second than it stalls. It seems the more the throttle is pressed the worse the hesitation. Giving it lots of throttle like when trying to scoot across a busy intersection means after the initial start, it shuts off to an idle. The engine does not shut off, just zero acceleration. I worked this over and over, tried giving it gas and starting out at a higher engine speed but it still hesitates. Seemingly if the throttle is not pressed very much, it does not hesitate as much. Only happens in first gear. I can shift into second gear in the middle of an hesitation and it takes off like it should in too high a gear.