On a Fekete–Szegö Problem Associated with Generalized Telephone Numbers

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Breaz D., Wanas A. K., Sakar F. M., Aydoğan S. M.

Mathematics, cilt.11, sa.15, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 15
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3390/math11153304
  • 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: bi-univalent function, Fekete–Szegö problem, holormorphic function, telephone numbers, upper bounds
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

One of the important problems regarding coefficients of analytical functions (i.e., Fekete–Szegö inequality) was raised by Fekete and Szegö in 1933. The results of this research are dedicated to determine upper coefficient estimates and the Fekete–Szegö problem in the class (Formula presented.), which is defined by generalized telephone numbers. We also indicate some specific conditions and consequences of results found by us.