On products of multivalent close-to-star functions.

In the present paper we define a class of products of multivalent close-to-star functions and determine the set of pairs [InlineEquation not available: see fulltext.], [InlineEquation not available: see fulltext.], such that every function from the class maps the disk [InlineEquation not available: see fulltext.] onto a domain starlike with respect to the origin. Some consequences of the obtained result are also considered. MSC: 30C45, 30C50, 30C55. [ABSTRACT FROM AUTHOR]