At the invitation of Kwame Nkrumah, W.E.B. Du Bois settled in Gharla and became the editor of the Encyclopedia Africana.
(A) At the invitation of - correct idiom
(B) When he was invited by
(C) An invitation coming from - wrong modifier . W.E.B. Du Bois i snot an invitation
(D) An invitation that came from - wrong modifier . W.E.B. Du Bois i snot an invitation
(E) After having an invitation by - not sure whether invitation by is a correct idiom. Also, verb should be in past perfect because the action happened before WEB settled and became the editor.
IMO A...too..well explained.... B & E are in passive voice...and C & D ..changes the meaning..wrong modifier...