by turning on the computer and pressing F11 repeatedly at the first logo screen doesn't work, try (from within Windows) Start > All Programs > Recovery Manager , and then click Recovery Manager - if you don't see it immediately remember that Windows hides unused programs and that is why you have that double upside down chevron to access them.
If that doesn't work try these two links.
The First tells you step by step how to create your recovery media -
The second tells you how to order recovery media for your computer if available. I couldn't check availability because you haven't bothered telling us the model number of HP you have.