On application of differential subordination for Carathéodory functions

• Main Authors: Lavanya V. Agnes Sagaya Judy, Jeyaraman M. P., Farzana H. Aaisha
• Format: Article
• Language: English
• Published: Sciendo 2020-11-01
• Series: Acta Universitatis Sapientiae: Mathematica
• Subjects: analytic functions; differential subordination; carathéodory function; starlike function; univalent function; 30c45; 30c80
• Online Access: https://doi.org/10.2478/ausm-2020-0026
• ISSN: 2066-7752

New sufficient conditions involving the properties of analytic functions to belong to the class of Carathéodory functions are investigated. Certain univalence and starlikeness conditions are deduced as special cases of main results.