Stuck on Bootlogo After Upgrading to iOS 8.1 can't enter recover/dfu mode
Well a sleep button would be nice but without it I don't think there is a way of fixing it. Does it show up in iTunes? I guess not. Just go to an apple store and let them fix it. (And if you don't have AppleCare that should not matter since it is clearly their fault)

(Sorry I can't comment, too few reputation yet :/ )