Sandwich Results for Holomorphic Functions Related to an Integral Operator
Abstract
In this paper, we introduce a new logarithmic integral operator that unifies differentiation and fractional integration within the complex domain. The present work addresses this gap by applying the proposed operator to analytic functions represented by alternating power series. The method demonstrates that the coefficients can be reorganized in a controlled manner without affecting convergence or analytic behavior. Using this framework, we derive third-order differential subordination and superordination results, which naturally lead to corresponding sandwich-type results. The findings confirm that the introduced operator offers an effective analytical tool for studying distortion, growth, and mapping properties of analytic functions, with promising potential for future applications in fluid mechanics.
Fields of Study & Subjects
Analytic and geometric function theory
Fractional Differential Equations Solutions
Algebraic and Geometric Analysis
Publication details
- Journal / source
- Fractal and Fractional
- Publisher
- MDPI AG
- Volume
- 10
- Issue
- 3
- Pages
- 171–171
- Publication date
- 4 March 2026
- Language
- EN