Child of a Gentile father and Jewish mother
The child of a Jewish mother and gentile father is not liable for hitting or cursing his mother or father, as only one who is liable for hitting and cursing his father is liable for hitting and cursing his mother, and since he is exempt from cursing his father who is a Gentile, so too he is exempt from cursing his mother. Nonetheless, some Poskim ruled that the child of a Gentile father and Jewish mother remains obligated in honoring and fearing his mother even though he is exempt from honoring and fearing his Gentile father. However, other Poskim leave this matter in question, as perhaps since he is exempt from honoring his father so too he is exempt from honoring his mother.
 See Encyclopedia Talmudit Erech Kibud Av Vaeim Vol. 26 p. 409
 Michaber 241:8; Rambam Mamrim 5:9 [regarding father] 10 [regarding mother]; Bava Basra 149a
 Minchas Soles 33:3
 Minchas Chinuch 33; P”M Pesicha Koleles 2:19