How to force a reboot on a frozen iPhone?

Was trying to update my iPhone to 7.1 and it froze. It has the Apple logo and the progress bar on the screen. I can't turn off the iPhone using any of the buttons on the phone. I have no problem doing a full recovery via iTunes, but I can't do that as the iPhone stays frozen and iTunes doesn't see it. Holding home buttons or power button doesn't do anything.

Have been online looking for solutions for roughly 3 hours and tried many things. This entire time, my iPhone has the Apple logo and the progress bar on the screen. I have no problem resetting everything as I do have a backup, however, I'm not able to get iTunes to recognize the device.

Is there some freeware I can download online that will allow me to do a forced reboot via some software?

Added (1). Hold home+power for 20 seconds. <= does not work

Added (2). ScσττRΛSC, doesn't work either. It i still frozen on the Apple logo with the progress bar.

Hold home+power for 20 seconds.

Tried DFU mode?

Plug your device into your computer.
Turn off the device.
Hold the Power button for 3 seconds
Hold the Home button without releasing the Power button for 10 seconds
Release the Power Button but keep holding the Home button
Keep holding the Home button until you are alerted by iTunes saying that it has detected a device in Recovery Mode