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- Title
Analytic Functions Related to a Balloon-Shaped Domain.
- Authors
Ahmad, Adeel; Gong, Jianhua; Al-Shbeil, Isra; Rasheed, Akhter; Ali, Asad; Hussain, Saqib
- 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.
- Subjects
UNIVALENT functions; GEOMETRIC function theory; HANKEL functions; ANALYTIC functions
- Publication
Fractal & Fractional, 2023, Vol 7, Issue 12, p865
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract7120865