I am sorry to hear that you jammed your finger so hard! Fortunately, it sounds like you most likely did not break your fingers or cause serious damage to the hand. That being said, if you find that the pain and swelling are not starting to improve over the next several days, or if you notice any deformities in the fingers or any difficulty moving the fingers, you may want to go see your primary care doctor
to get an x-ray
and make absolutely sure that there are no broken bones.
The fact that you are seeing some bruising develop in the hand is perfectly normal. It is likely that when the ball hit your had it cause some bruising and contusion
in several of the fingers and in the hand as well. Often the color associated with this damage doesn't show up on the first day of the injury, but it can emerge later as the injury matures and begins to heal.
Please talk to your primary care doctor for more information!