Abstract

A function analytic and locally univalent in a simply connected domain is of bounded radius rotations if its range has bounded radius rotations which is defined as the total variation of the direction angle of radial vector to the boundary curve under a complete circuit. We use Srivastava–Attiya integral operator to define some new subclasses of analytic functions which map the open unit disk to the domain related with the functions of bounded radius rotation. Some results including inclusion relations, integral preserving properties, and inverse inclusions are studied. We may relate our finding with the existing results found in the literature of the subject.

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