1. Analytic Functions Related to a Balloon-Shaped Domain.
- Author
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Ahmad, Adeel, Gong, Jianhua, Al-Shbeil, Isra, Rasheed, Akhter, Ali, Asad, and Hussain, Saqib
- Subjects
UNIVALENT functions ,GEOMETRIC function theory ,HANKEL functions ,ANALYTIC functions - Abstract
One of the fundamental parts of Geometric Function Theory is the study of analytic functions in different domains with critical geometrical interpretations. This article defines a new generalized domain obtained based on the quotient of two analytic functions. We derive various properties of the new class of normalized analytic functions X defined in the new domain, including the sharp estimates for the coefficients a 2 , a 3 , and a 4 , and for three second-order and third-order Hankel determinants, H 2 , 1 X , H 2 , 2 X , and H 3 , 1 X . The optimality of each obtained estimate is given as well. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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