A note on neighbourhoods of univalent functions
Abstract: Using a notion of neighbourhood of analytic functions due to Stephan Ruscheweyh we examine conditions under which neighbourhoods of a certain class of convex functions are included in a class of starlike functions.
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 30C45
Retrieve articles in all journals with MSC: 30C45
Keywords: Univalent starlike and convex functions, neighbourhoods of analytic functions, Hadamard product
Article copyright: © Copyright 1983 American Mathematical Society