my ipad mini is stuck on the apple logo and isn't recognizing itunes

First of all, have you tied a forced restart? Hold down on the sleep and home buttons at the same time until the Apple logo appears on the screen.

If the mini fails to restart, and you want to try to restore, try recovery mode.

If you can't update or restore your iPhone, iPad, or iPod touch - Apple Support

If that still fails and the computer will not recognize the device, try the suggestions in here.

If your computer doesn't recognize your iPhone, iPad, or iPod - Apple Support