Ark. Code Ann. § 28-9-210: Posthumous heirs

(a) Posthumous descendants of the intestate conceived before his or her death but born thereafter shall inherit in the same manner as if born in the lifetime of the intestate.

(b) However, no right of inheritance shall accrue to any person other than a lineal descendant of the intestate, unless such a person has been born at the time of the intestate's death.