On Certain Classes of Biharmonic Mappings Defined by Convolution

Abstract

We introduce a class of complex‐valued biharmonic mappings, denoted by B H 0 ( ϕ k ; σ , a , b ), together with its subclass T B H 0 ( ϕ k ; σ , a , b ), and then generalize the discussions in Ali et al. (2010) to the setting of B H 0 ( ϕ k ; σ , a , b ) and T B H 0 ( ϕ k ; σ , a , b ) in a unified way.