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Weakly Close-to-Convex Meromorphic Functions

Published online by Cambridge University Press:  20 November 2018

Laurellen Landau-Treisner  and
Albert E. Livingston
Laurellen Landau-Treisner
Affiliation:
University of Delaware, Newark, Delaware
Albert E. Livingston
Affiliation:
University of Delaware, Newark, Delaware
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Classes of functions, meromorphic and univalent in

Δ = {z:|z|< 1}

with simple pole at z = p, 0 < p < 1, have been discussed in several places in the literature ([3], [6], [8], [10], [11], and [12]). The purpose of this paper is to discuss a class of Close-to-Convex functions with pole at p analogous to the class of Close-to-Convex functions with pole at zero studied by Libera and Robertson [9].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 41 , Issue 4 , 01 August 1989 , pp. 612 - 625
Copyright
Copyright © Canadian Mathematical Society 1989

References

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