Musannaf Ibn Abi Shaybah

Ibrahim says: He would perform the funeral prayer for a child of adultery if he was one who prayed.

Hazrat Nafi' states that Hazrat Abdullah bin Umar (may Allah be pleased with them both) would not perform the funeral prayer for a child of adultery, whether the child was young or old.

Hazrat Nafi' reports that Hazrat Abdullah bin Umar (may Allah be pleased with them both) saw a child born out of wedlock and his mother dead on the bed at home, and he performed the funeral prayer for both of them.