Ohio fishing regs say "bow." It is not defined in fishing regs as far as I can tell. Hunting definition is:
LONGBOW or BOW means a device for propelling an arrow by means of limbs, and a string which is hand held, hand drawn, and held in a drawn position by hand or a hand held mechanical release. This would include compound and recurve bows.
That is pretty much for deer hunting though. I am going to have to stop in and see my county officer sometime soon so I will just have to ask him about it.