Is there a Prophetic Hadith concerning the shaving of a boy's head, and should the shaving be complete or partial, and when should this be done, and should the hair be weighed and its value be given in gold as charity?

It is sunnah (definition) to shave the male infant's head on the seventh day. The shaving should preferably be done with a razor, or else with whatever is available. Shaving the hair of a female infant is not legislated. Charity should be given in silver equivalent to the weight of the hair, and it is also permissible to give in gold.

As for shaving part of the head and leaving part, it is forbidden and is called "Al-Qaza'". It is of four types: shaving scattered areas, or shaving the middle and leaving the sides, or shaving the sides and leaving the middle, or shaving the front and leaving the back.