Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator
Abstract
:1. Introduction
2. Upper Bounds for the Coefficients
- Aldweby and Darus [21] discovered the following three particular families.If , , and , then the subclassIf , , and , then the subclassIf , , and ,
- The following three particular families are discovered by Murugusundaramoorthy and Bulut [37]:If , then the subclassIf and , then the subclassIf and , then the subclass .
- The following two particular families are discovered by Srivastava et al. [24]:If , , , and , then the subclass .If , , , and , then the subclass .
- The following particular family is discovered by Ali et al. [34]:If , , and , then the subclass .
3. Fekete–Szego Inequalities
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Al-shbeil, I.; Gong, J.; Shaba, T.G. Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator. Fractal Fract. 2023, 7, 155. https://doi.org/10.3390/fractalfract7020155
Al-shbeil I, Gong J, Shaba TG. Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator. Fractal and Fractional. 2023; 7(2):155. https://doi.org/10.3390/fractalfract7020155
Chicago/Turabian StyleAl-shbeil, Isra, Jianhua Gong, and Timilehin Gideon Shaba. 2023. "Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator" Fractal and Fractional 7, no. 2: 155. https://doi.org/10.3390/fractalfract7020155