Regan, Thomas J.  "The Problem of the Trinity in Whitehead's Philosophy of God."  The Modern Schoolman 62 (May 1985): 317-35.

Abstract

This article examines three questions: (1) how can a triune notion of God be accommodated in Whitehead's di-polar theism?  (2) How can God be three persons and yet one actual entity?  And (3) how can god be both immanent and transcendent?  After looking at the work of Joseph Bracken, SJ and Lewis Ford on these questions, it is concluded that Whitehead's philosophy cannot serve as the ground for a traditional interpretation of trinitarian theology without involving major distortions of his original position.  [Abstract from The Philosopher's Index]