Planar harmonic convolution operators generated by hypergeometric functions.

Let SH be the family of all planar harmonic, univalent and sense-preserving mappings f=h+g¯ where h and g are analytic funtions in the open unit disk. The purpose of this article is to investigate connections between the theory of harmonic mappings in the plane and hypergeometric functions by applying certain planar harmonic convolution operators on various subclasses of SH. [ABSTRACT FROM AUTHOR]