Are there any digital slr cameras with video function?

The Lumix DMC LZ5S is an ordinary point & shoot.
There are no dSLR cameras with video. A couple of questions down, someone was asking about dSLR cameras with live view, and there's only 1 of those.

Yes a very good one is the Panasonic Lumix DMC LZ5S. It has great stablization which you would need to control a shaky and blurred picture. 2.5 inch viewscreen, 6 megapixils 6x optical - 4x digital zoom. And much more. You can buy at beachcamera.com for $217.00 total price including shipping. I would buy this one if I didn't already have a digital camera. LZ5S is for the silver, LZ5 will get you a black case.....Look it up there's much more to it.

No. There are currently no DSLR cameras that also take video.
Not even the Sony R1 (which isn't really a DSLR, but comes close), nor the Olympus E330 and E500, which do offer a live LCD preview.

Absolutely not. No respectable dSLR would ever have this.