Meromorphic parabolic starlike functions with a fixed point involving Srivastava-Attiya operator

Abstract

In the present investigation, we introduce a new class of meromorphic parabolic starlike functions with a fixed point defined in the punctured unit disk $\Delta^*:=\{z \in \mathbb{C}: 0<|z|<1\}$ by making use of the SrivastavaAttiya Operator $\mathcal{J}_b^s$. We obtained Coefficient inequalities, growth and distortion inequalities, as well as closure results for functions $f \in \mathcal{M}_b^s(\lambda, \beta, \gamma)$. We further established some results concerning convolution and the partial sums.