Certain properties of analytic fractional functions on the open unit disk
*Zainab Esa AbdulnabyCorresponding authorzainabesa@uomustansiriyah.edu.iqDepartment of MathematicsCollege of ScienceMustansiriyah UniversityBaghdad, IraqView full profile → , Waqas Battal Jubairwaqasbattaljubair@gmail.comDepartment of MathematicsMinistry of EducationOpen Educational CollegeAnbar, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 04 Feb 2025
- Published Online:
- 08 May 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2216
- Pages:
- 1263–1268
Abstract
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References
[1] Z. E. Abdulnaby and R. W. Ibrahim, “On a subclass of analytic functions of fractal power with negative coefficients,” Bull. Transilvania Univ. Brasov, Ser. III: Math. Comput. Sci., vol. 13, no. 2, pp. 387-398 (2020).
[2] A. Kılıçman, R. W. Ibrahim, and Z. E. Abdulnaby, “Upper bound of fractional differential operator related to univalent functions,” Math. Sci., vol. 10, no. 4, pp. 167-175 (2016).
[3] R. W. Ibrahim, A. Kılıçman, and Z. E. Abdulnaby, “Boundedness of fractional differential operator in complex spaces,” Asian-Eur. J. Math., vol. 10, no. 4, pp. 1-12 (2017).
[4] A. M. Delphi and K. A. Jassim, “Results of differential sandwich theorem of the univalent functions associated with generalized Salageon integro-differential operator,” J. Interdiscip. Math., vol. 25, no. 8, pp. 2573-2577 (2022).
[5] M. A. Jasim and Z. E. Abdulnaby, “Some certain properties on analytic p-valent functions connected to fractional differential operator,” J. Interdiscip. Math., vol. 27, no. 4, pp. 939-945 (2024).
[6] H. Silverman, “Univalent functions with negative coefficients,” Proc. Amer. Math. Soc., vol. 51, no. 1, pp. 109-116 (1975).
[7] V. P. Gupta and P. K. Jain, “Certain classes of univalent functions with negative coefficients,” Bull. Aust. Math. Soc., vol. 14, no. 3, pp. 409-416 (1976).
[8] Y. C. Kim and H. M. Srivastava, “Some families of generalized hypergeometric functions associated with the Hardy space of analytic functions,” Proc. Japan Acad., Ser. A, Math. Sci., vol. 70, no. 2, pp. 41-46 (1994).
