We consider two classes of functions, univalent and meromorphic in the unit disk . The first class is normalized by requiring that the functions be nonzero in with /(0) = 1 and a pole at a fixed point, p, 0 < p < 1. In the second class the functions are allowed to have a zero with fixed magnitude. Theorems concerning the integral means of functions in both classes are proven and consequences of these theorems are considered.
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Albert E. Livingston (1977) studied this question.
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