In the early 70's, D.M. Campbell published three papers on majorizationsubordination results for locally univalent functions. In particular, he showed that if F is linearly invariant of order α and if f is subordinate to F on {z : |z| < 1}, then f is majorized by F on {z : |z| < m(α)} where m(α) = α + 1 − √ α 2 + 2α, provided α ≥ 1.65. He conjectured, in fact, that this result also held for 1.65 > α ≥ 1. We review Campbell's proof and why the restriction α ≥ 1.65 arose in the proof. We then

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... rmatively verify Campbell's conjecture in Theorem 1.