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On the integral means
of univalent, meromorphic functions
Albert Edward Livingston |
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Vol. 72 (1977), No. 1, 167–180
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Abstract |
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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 f(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. |
Mathematical Subject Classification
Primary: 30A32, 30A32
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Milestones
Received: 11 October 1976
Published: 1 September 1977
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Authors |
| Albert Edward Livingston | |
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