Study of Generalized q-Close-to-Convex Functions Related to Parabolic Domain

Abstract

The concepts of bounded boundary rotation and parabolic domain are used to define certain new classes of analytic functions such as V1,qm,g, R1,qm,g, T1,qm,g, and Q1,qγm,g,a. The difference of coefficients, necessary conditions, distortion bounds, radius problem, and several other interesting properties of these newly defined classes are also studied.