Classes of analytic functions involving the q-Ruschweyh operator and q-Bernardi operator

Abstract

In this paper, we introduced and studied two new classes of analytic functions using the concepts of subordination and q-calculus. We established inclusion relations for these q-classes and integral-preserving properties associated with the q-integral operator. We also determined certain convolution properties.

Keywords

• q-derivative
• q-integral operator
• analytic functions
• univalent functions
• coefficient estimates
• ruschweyh operator
• bernardi operator