Sharp Coefficient Bounds for a Class of Analytic Functions Related to Exponential Function

Tayyah A. S., YALÇIN TOKGÖZ S., BAYRAM H.

MATHEMATICS, cilt.13, sa.23, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 23
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3390/math13233878
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, Directory of Open Access Journals
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a new class of analytic functions, denoted by S(nu,phi & vartheta;,e), and provide illustrative examples to elucidate its properties. This class generalizes the starlike and convex functions previously defined by Khatter et al. in relation to the exponential function. A significant contribution of this work is the derivation of sharp bounds for various coefficient-related problems within this class. The computational challenges involved in deriving these bounds were effectively addressed using MathematicaTM codes. Additionally, figures illustrating the geometric properties and essential computations have been incorporated into the paper.