Bi-Univalency of m-Fold Symmetric Functions Associated with a Generalized Distribution


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Olatunji S. O., Sakar F. M., Breaz N., Aydoğan S. M., Oluwayemi M. O.

Mathematics, cilt.12, sa.2, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.3390/math12020169
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: analytic function, convex function, distribution series, m-fold symmetric, star-like function, univalent function
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

The m-fold symmetric in terms of a generalized distribution series has not been considered in the literature. In this study, however, the authors investigated the bi-univalency of m-fold symmetric functions for the generalized distribution of two subclasses of analytic functions. The initial few coefficient bounds (Formula presented.) and (Formula presented.) are obtained for the two subclasses of functions defined and the results serve as a new generalization in this direction.