Upper bounds of the third hankel determinant for bi-univalent functions in crescent-shaped domains

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Küçük Resim

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Multidisciplinary Digital Publishing Institute (MDPI)

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This paper investigates the third Hankel determinant, denoted (Formula presented.), for functions within the subclass (Formula presented.) of bi-univalent functions associated with crescent-shaped regions (Formula presented.). The primary aim of this study is to establish upper bounds for (Formula presented.). By analyzing functions within this specific geometric context, we derive precise constraints on the determinant, thereby enhancing our understanding of its behavior. Our results and examples provide valuable insights into the properties of bi-univalent functions in crescent-shaped domains and contribute to the broader theory of analytic functions. © 2024 by the authors.

Açıklama

Anahtar Kelimeler

Analytic function, Bi-univalent, Crescent-shaped region, Hankel determinant

Kaynak

Symmetry

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

16

Sayı

10

Künye

Shakir, Q. A., Tayyah, A. S., Breaz, D., Cotîrlă, L., Rapeanu, E. ve Sakar, F. M. (2024). Upper bounds of the third hankel determinant for bi-univalent functions in crescent-shaped domains, 16(10), 1-15.