Coefficient bounds and Fekete-Szegő problem for some classes of analytic functions defined by using a fractional operator

Abstract

In this paper coefficient bounds and Fekete-Szegő inequalities are obtained for the classes of analytic functions \({{\mathcal {S}}}_\lambda ^{\nu , n}(\eta , [\phi ]), {{\mathcal {C}}}_\lambda ^{\nu , n}(\eta , [\phi ], [\psi ])\), \({{\mathcal {R}}}_\lambda ^{\nu , n}(\eta , \gamma , [\phi ], [\psi ])\) introduced in a recent work. Some of the main results generalize previously known results.