Coefficient analysis and geometric properties of Sakaguchi-type analytic functions induced by four-leaf conformal mappings
KUWAIT JOURNAL OF SCIENCE, cilt.54, sa.1, 2027 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 54 Sayı: 1
- Basım Tarihi: 2027
- Doi Numarası: 10.1016/j.kjs.2026.100666
- Dergi Adı: KUWAIT JOURNAL OF SCIENCE
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Arab World Research Source, MathSciNet, zbMATH, Directory of Open Access Journals, Academic Search Ultimate (EBSCO)
- Kocaeli Üniversitesi Adresli: Evet
Özet
This paper introduces a new subclass of normalized analytic univalent functions whose geometry is governed by symmetric-point starlikeness of Sakaguchi type. The class is generated by a special function-type conformal mapping that yields a characteristic four-leaf-shaped image domain, providing a concrete geometric model within geometric function theory. By employing a suitable subordination scheme associated with this mapping, coefficient estimates for the initial Taylor-Maclaurin coefficients and corresponding Fekete-Szeg & ouml; type inequalities are established. Detailed planar and three-dimensional geometric visualizations of the image domains induced by the four-leaf structure are also presented to illustrate the non-emptiness of the proposed class and clarify its geometric behavior. The combined analytical and geometric treatment demonstrates the effectiveness of the four-leaf mapping as a structural tool within this framework.