Third Hankel Determinant for a Subfamily of Holomorphic Functions Related with Lemniscate of Bernoulli

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ORHAN H., Çağlar M., Cotîrlă L.

Mathematics, cilt.11, sa.5, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 5
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3390/math11051147
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: Hankel determinant, Carlson-Shaffer operator, Lemniscate of Bernoulli, holomorphic function, univalent function, Fekete-Szego problem, starlike function, Zalcman functional, EARLY COEFFICIENTS, UNIVALENT, STARLIKE, SUBCLASS, INVERSE
  • Atatürk Üniversitesi Adresli: Evet

Özet

The main goal of this investigation is to obtain sharp upper bounds for Fekete-Szegö functional and the third Hankel determinant for a certain subclass (Formula presented.) of holomorphic functions defined by the Carlson-Shaffer operator in the unit disk. Finally, for some special values of parameters, several corollaries were presented.