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

Orhan, Halit; Çağlar, Murat; Cotîrlă, Luminiţa-Ioana

doi:10.3390/math11051147

Makale Tam Makale Uluslararası 2023 Açık erişimli

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

Halit Orhan, Murat Çağlar, Luminiţa-Ioana Cotîrlă

MATHEMATICS Cilt 11 · Sayı 5 · 01.03.2023

DOI ile aç

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.

Anahtar kelimeler

Univalent function Hankel determinant Fekete-Szego problem starlike function Carlson-Shaffer operator Lemniscate of Bernoulli holomorphic function Zalcman functional

Atıf için künye

Orhan, H., Çağlar, M., & Cotîrlă, L. (2023). Third Hankel Determinant for a Subfamily of Holomorphic Functions Related with Lemniscate of Bernoulli. MATHEMATICS, 11(5). https://doi.org/10.3390/math11051147

BibTeX

@article{orhan2023-73119,
  author = {Orhan, Halit and Çağlar, Murat and Cotîrlă, Luminiţa-Ioana},
  title = {Third Hankel Determinant for a Subfamily of Holomorphic Functions Related with Lemniscate of Bernoulli},
  journal = {MATHEMATICS},
  year = {2023},
  volume = {11},
  number = {5},
  issn = {2227-7390},
  doi = {10.3390/math11051147},
  url = {https://akademik.atauni.edu.tr/yayinlar/73119-third-hankel-determinant-for-a-subfamily-of-holomorphic-functions-related-with}
}