On the integral means of univalent, meromorphic functions

Albert Livingston
1977 Pacific Journal of Mathematics  
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