On classes of ζ-uniformly q-analogue of analytic functions with some subordination results

Abstract

This article presents new classes of ζ-uniformly q-starlike and q-convex analytic functions of order υ using the principle of q-calculus. The renowned classes of starlike and convex functions are utilized to establish these classes. The investigation of these uniformly classes leads to the study of some geometric notions, including coefficient estimates, sharpness, distortion and growth theorems, and convex linear combinations. Furthermore, some subordination properties involving integral means inequalities and subordinate sequences are examined.

Keywords

• Univalent functions
• q-calculus
• uniformly q-analogue analytic functions
• integral means inequalities
• subordinate factor sequence
• 30C20