Iphone battery died during latest update now phone won't turn on?

I have iphone 3gs. I got a system message to say an update was available so i said yes to the update however my battery must have died during the update which wasn't completed and now my phone won't turn on. I have plugged it in to charge and the apple icon appears then disappears, then appears and disappears again. I have tried holding both the buttons to power on/off/restore but doesn't seem to work either. Anything ele i can try before going to the apple store?

Restore your phone will work straight away

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