Meromorphic Parabolic Starlike Functions Associated with q-Hypergeometric Series

Abstract

We introduce a new class of meromorphic parabolic starlike functions with a fixed point defined in the punctured unit disk Δ*≔z∈ℂ:0<z<1 involving the q-hypergeometric functions. We obtained coefficient inequalities, growth and distortion inequalities, and closure results for functions f∈ℳmlλ,β,γ. We further established some results concerning convolution and the partial sums.