Sandwich-Type Theorems for a Family of Non-Bazilevič Functions Involving a <i>q</i>-Analog Integral Operator

Abstract

This article presents a new q-analog integral operator, which generalizes the q-Srivastava–Attiya operator. Using this q-analog operator, we define a family of analytic non-Bazilevič functions, denoted as Tq,τ+1,uμ(ϑ,λ,M,N). Furthermore, we investigate the differential subordination properties of univalent functions using q-calculus, which includes the best dominance, best subordination, and sandwich-type properties. Our results are proven using specialized techniques in differential subordination theory.

Keywords

• univalent functions
• <i>q</i>-calculus
• non-Bazilevič function
• best dominant
• best subordinate
• sandwich-type theorems