This is because the download and install process will be finished on your computer when upgrading i OS 8 on i Tune, but the installation package will be downloaded to your device when updating on i OS device.
If the program can recognize your phone, please check the info on the screen and continue.
Solution: This may be caused by the internet connection or slow internet speed.
Or you can reboot your device by holding down the Sleep/Wake button and the Home button for 10 seconds, then go to Settings This is one of the most severe problem affecting users after i OS 8 upgrade.
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Solution: To fix this problem of i OS 8 device stuck on Apple logo, you can hold down the Sleep button to turn off your device; convert your i OS device to your computer to start i Tunes; hold down the Sleep and the Home button for 10 seconds; release the Sleep button and keep holding the Home button till a message appears in i Tunes; and select your device and click Restore option under Summary.