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I see from the post that you are having issues with the recovery partition being deleted on your HP PC. Don't worry I'll try my best to help you with this,
After reviewing your post, I see that you have changed the OS from windows 8.1 to Linux.
Before making any changes it's always recommended to create a set of recovery media for backup. If you haven't created a set of recovery media.
The only other way to install Windows would be to order the recovery media for your laptop and using the recovery media you can install Windows. You can check if the recovery media is available online on www.hp.com/drivers by entering the exact model no. of your laptop. To find the exact model no. click here: http://hp.care/2bygf7l
Otherwise, you could also reach HP phone support to order the recovery media. If your product is out of warranty, please choose paid options to get the tech support number.
Please use the following link to create yourself a case number, then call and it may help speed up the call process: