Subclass of a certain Bazilevic functions associated with Caratheodory functions normalized by other than unity with two radii

Following the approach in \cite{ref6}, we introduced a new subclass of Basilevic function associated with Caratheodory function other than unity define  by a new operator denoted by \(B^{n}_{\sigma, \gamma}(\lambda, \beta)\) and determine the radii of two disks in which the solution of a certain integral equation involving a function \(f \in B^{n}_{\sigma, \gamma}(\lambda, \beta)\) is in \(f \in B^{n}_{\sigma, \gamma}(\lambda, \beta)\) and for which each function \(f \in B^{n}_{\sigma, \gamma}(\lambda, \beta)\) is a \(\sigma-n\)-spiral univalent.