Coefficient functionals for Sakaguchi-type-Starlike functions subordinated to the three-leaf function
A challenging part of studying geometric function theory is figuring out the sharp boundaries for coefficient-related problems that crop up in the Taylor-Maclaurin series of univalent functions. The objective of this article is to define the families of Sakaguchi-type starlike functions with respect...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-06-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2025-0123 |
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| Summary: | A challenging part of studying geometric function theory is figuring out the sharp boundaries for coefficient-related problems that crop up in the Taylor-Maclaurin series of univalent functions. The objective of this article is to define the families of Sakaguchi-type starlike functions with respect to symmetric points based on qq-operator and to investigate the precise boundaries for a range of issues, including the first three initial coefficient estimates, Fekete-Szegö type and the Zalcman inequalities by subordinating to the function of the three leaves. Additionally, we discussed initial coefficients and Fekete-Szegö type inequalities for functions of the form ℱ−1{{\mathcal{ {\mathcal F} }}}^{-1} and zℱ(z)\frac{z}{{\mathcal{ {\mathcal F} }}\left(z)} and 12logℱ(z)z\frac{1}{2}\log \left(\phantom{\rule[-0.75em]{}{0ex}},\frac{{\mathcal{ {\mathcal F} }}(z)}{z}\right) linked with the function of the three leaves. |
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| ISSN: | 2391-4661 |