A Differential Operator Associated with q-Raina Function

The topics studied in the geometric function theory of one variable functions are connected with concept Symmetry because for some special cases analytic map open unit disk onto a symmetric domain. Thus, if all coefficients Taylor expansion at origin real numbers, then image is domain respect to axis. In this paper, we formulate q-differential operator associated q-Raina using quantum calculus, that so-called Jacksons’ calculus. We establish new subclass by newly developed operator. differential subordination inspired our approach; therefore, geometrically explore most popular properties operator: properties, coefficient bounds, and Fekete-Szegő problem. As cases, highlight certain well-known corollaries primary findings.