An analytical study of Fekete–Szegö bounds for star-like mappings in the multidimensional polydisk I(Un) and a complex Banach space I(B ̌)
*Saba N. Al-KhafajiCorresponding authorsaban.alkhafaji@uokufa.edu.iqDepartment of GeologyFaculty of ScienceUniversity of KufaKufa, Najaf, IraqView full profile → , Mohaimen Muhammed Abboodmohaimen.m.abbood35502@st.tu.edu.iqGeneral Directorate of Education Diyala, Ministry of EducationDiyala, IraqView full profile → , Ali Al-Fayadhaalfayadh@yahoo.comDepartment of Mathematics and Computer ApplicationsCollege of ScienceAl-Nahrain UniversityBaghdad, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 May 2025
- Published Online:
- 27 Jun 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2288
- Pages:
- 1091–1098
Abstract
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References
[1] M. Fekete and G. Szegö, “Eine bemerkung über ungerade schlichte Funktionen,” J. London Math. Soc., vol. 8, pp. 85-89 (1933).
[2] S. Gong, The Bieberbach Conjecture, vol. 12 of AMS/IP Studies in Advanced Mathematics. Providence, RI, USA: American Mathematical Society and International Press, p. 201 (1999).
[3] S. Gong, Convex and Starlike Mappings in Several Complex Variables, 2nd ed. Beijing, China, and Dordrecht, Netherlands: Science Press and Kluwer Academic Publishers, p. 212 (2003).
[4] T.-S. Liu and Q.-H. Xu, “On the Fekete and Szegö problem for the class of starlike mappings in several complex variables,” Abstract and Applied Analysis, vol. 2014, Article ID 807026, pp. 1–6 (2014), doi: 10.1155/2014/807026.
[5] H. F. Abbas, H. H. Ebrahim and A. Al-Fayadh, “Study of some properties of P-field,” J. Discret. Math. Sci.Cryptogr, vol. 26, no. 7, pp. 1843–1850 (2023).
[6] H. F. Abbas, H. H. Ebrahim and A. Al-Fayadh, “Soft P*–field and some of its properties,” J. Discret. Math. Sci. Cryptogr., vol. 26, no. 7, pp. 1875–1882 (2023).
[7] I. Graham and G. Kohr, Geometric function theory in one and higher dimensions, New York, USA: Marcel Dekker, Inc., pp. 528 (2003).
[8] W. Koepf, “On the Fekete–Szegő problem for close-to-convex functions,” Proceedings of the American Mathematical Society, vol. 101, no. 1, pp. 89–95 (1987).
[9] T.-S. Liu, X.-S. Liu, and Q.-H. Xu, “Fekete and Szegő problem in one and higher dimensions,” Science China Mathematics, vol. 61, no. 10, pp. 1775–1788 (2018), doi: 10.1007/s11425-017-9145-0.
