Coefficient Estimates for Quasi-Subordination Classes Connected with the Combination of <i>q</i>-Convolution and Error Function

Abstract

We utilize quasi-subordination to analyze and introduce several new classes, and we construct a new operator by combining the error function and q-convolution. Additionally, we obtain estimates for the Fekete Szego functional and the Taylor–Maclaurin coefficients for functions in c2 and c3 new classes. Moreover, we discuss some applications of the operator.

Keywords

• analytic
• convolution
• <i>q</i>-derivative
• error function
• quasi-subordination