Study certain subclasses of holomorphic functions for quasi-subordination
*Abdulsalam F. TalakCorresponding authorabd19u2007@uoanbar.edu.iqDepartment of MathematicsUniversity of AnbarCollege of Education for Pure SciencesAL-Anbar, IraqView full profile → , Mustafa I. Hameedmustafa8095@uoanbar.edu.iqDepartment of MathematicsUniversity of AnbarCollege of Education for Pure SciencesAL-Anbar, Iraq0000-0003-0726-3180View full profile → , Ali Kadhim Yaqoobali.kazem@uoanbar.edu.iqDepartment of MathematicsUniversity of AnbarCollege of ScienceAL-Anbar, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 08 Oct 2024
- Published Online:
- 08 May 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2015
- Pages:
- 865–871
Abstract
Keywords
Subject Classifications
References
[1] W. Minda, “A unified treatment of some special classes of univalent functions,” in Proc. Conf. Complex Analysis (1992).
[2] M. S. Robertson, “Quasi-subordination and coefficient conjectures,” Bull. Amer. Math. Soc., vol. 76, no. 1, pp. 1–9 (1970).
[3] M. I. Hameed, S. J. Al-Dulaimi, and H. Joshua, “Novel classes of bi-univalent functions of the Sălăgean type with a modified sigmoid unit action function,” J. Interdiscip. Math., vol. 27, no. 4, pp. 807–814 (2024).
[4] R. K. Raina and P. Sharma, “Subordination properties of univalent functions involving a new class of operators,” Electron. J. Math. Anal. Appl., vol. 2, no. 1, pp. 37–52 (2014).
[5] S. P. Goyal and P. Goswami, “Majorization for certain classes of meromorphic functions defined by integral operator,” Ann. Univ. Mariae Curie-Sklodowska Sect. A–Math., vol. 66, no. 2, pp. 57–62 (2016).
[6] M. I. Hameed, B. N. Shihab, and K. A. Jassim, “Some properties of subclass of P-valent function with new generalized operator,” AIP Conf. Proc., vol. 2394, no. 1, Art. no. 070006 (2022).
[7] J. K. Prajapat, “Subordination and superordination preserving properties for generalized multiplier transformation operator,” Math. Comput. Model., vol. 55, no. 3–4, pp. 1456–1465 (2012).
[8] P. Sharma, J. K. Prajapat, and R. K. Raina, “Certain subordination results involving a generalized multiplier transformation operator,” J. Classical Anal., vol. 2, no. 1, pp. 85–106 (2013).
[9] H. M. Srivastava, A. O. Mostafa, M. K. Aouf, and H. M. Zayed, “Basic and fractional q-calculus and associated Fekete-Szegő problem for p-valently q-starlike functions and p-valently q-convex functions of complex order,” Miskolc Math. Notes, vol. 20, no. 1, pp. 489–509 (2019).
[10] Z. Nehari, Conformal Mapping, New York, NY, USA: McGraw-Hill (1952).
[11] M. I. Hameed, S. J. Al-Dulaimi, and K. A. Jassim, “Some applications of certain subclasses of meromorphic functions defined by certain differential operators,” AIP Conf. Proc., vol. 2554, no. 1, Art. no. 020001 (2023).
[12] G. Murugusundaramoorthy, S. O. Olatunji, and O. A. Fadipe-Joseph, “Fekete-Szegö problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination,” Int. J. Nonlinear Anal. Appl., vol. 9, no. 1, pp. 55–68 (2018).
[13] M. I. Hameed and B. N. Shihab, “Several subclasses of r-fold symmetric bi-univalent functions possess coefficient bounds,” Iraqi J. Sci., vol. 63, no. 12, pp. 5438–5446 (2022).




