Mustadrak al-Hakim — Hadith 8167

Kharijah bin Zayd bin Thabit narrates from his father, Sayyiduna Zayd bin Thabit (may Allah be pleased with him), that the ruling on the inheritance of paternal half-brothers (sharing only the father), when there is no full brother (sharing both mother and father) with them, is exactly the same as that of full brothers: their males are like the males (of full brothers) and their females like the females. But when full brothers and paternal half-brothers are together, and there is a male among the full brothers, then the paternal half-brothers have no share in the inheritance.