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

Halit Orhan, Murat Çağlar and Luminiţa-Ioana Cotîrlă ()
Additional contact information
Halit Orhan: Department of Mathematics, Faculty of Science, Atatürk University, 25240 Erzurum, Türkiye
Murat Çağlar: Department of Mathematics, Faculty of Science, Erzurum Technical University, 25100 Erzurum, Türkiye
Luminiţa-Ioana Cotîrlă: Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Mathematics, 2023, vol. 11, issue 5, 1-12

Abstract: 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 SL ∗ u , v , α of holomorphic functions defined by the Carlson-Shaffer operator in the unit disk. Finally, for some special values of parameters, several corollaries were presented.

Keywords: Hankel determinant; Carlson–Shaffer operator; Lemniscate of Bernoulli; holomorphic function; univalent function; Fekete-Szegö problem; starlike function; Zalcman functional (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/5/1147/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/5/1147/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:5:p:1147-:d:1080275

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().