Non-Carathéodory analytic functions with respect to symmetric points

Daniel Breaz, Kadhavoor R. Karthikeyan and Elangho Umadevi

Mathematical and Computer Modelling of Dynamical Systems, 2024, vol. 30, issue 1, 266-283

Abstract: The authors introduce new classes of analytic function with respect $(\eta ,{\kern 1pt} \tau)$(η,τ)-symmetric points subordinate to a domain that is not Carathéodory. To use the existing infrastructure or framework, usually, the study of analytic function have been limited to a differential characterization subordinate to functions which are Carathéodory. Here, we try to obtain various interesting properties of functions which are not Carathéodory. Integral representation, interesting conditions for starlikeness and inclusion relations for functions in these classes are obtained.

Date: 2024
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DOI: 10.1080/13873954.2024.2341691

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