Fekete-Szegö Variations for Some New Classes of Analytic Functions Explained Over Poisson and Borel Distribution Series

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AKGÜL A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.48, sa.8, ss.9241-9252, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 8
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1002/mma.10796
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.9241-9252
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Kocaeli Üniversitesi Adresli: Evet

Özet

The motivation of this paper is to explore and generalize Sakaguchi-type functions, which play a significant role in geometric function theory. In this context, we introduce four new classes of analytic univalent functions: I Psi,tb,alpha,rho,IIb,alpha,rho,I Theta,mb,alpha,rho, and I Xi,kb,alpha,rho. These classes are defined to extend the study of these functions and their applications. First, we define the class I Psi,tb,alpha,rho, associated with generalized telephone numbers, using the concept of subordination. For functions u in this class, we derive initial coefficient estimates and address the Fekete-Szeg & ouml; functional problem, as well as explore results for the inverse function u-1. Next, we introduce the remaining classes IIb,alpha,rho,I Theta,mb,alpha,rho, and I Xi,kb,alpha,rho which are connected to I Psi,tb,alpha,rho through convolution and Borel and Poisson distribution series. For these classes, we obtain variations of the Fekete-Szeg & ouml; inequality and discuss their relationships with previously studied function classes.