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We consider two classes of functions, univalent and meromorphic in the unit disk Δ. The first class is normalized by requiring that the functions be nonzero in Δ 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.doi:10.2140/pjm.1977.72.167 fatcat:sw2jwlipurdldprerc5la6itqm