Hankel Determinants for New Subclasses of Analytic Functions Related to a Shell Shaped Region

Gangadharan Murugusundaramoorthy and Teodor Bulboacă
Additional contact information
Gangadharan Murugusundaramoorthy: Department of Mathematics, SAS, Vellore Institute of Technology, Deemed to be University, Vellore 632014, India
Teodor Bulboacă: Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania

Mathematics, 2020, vol. 8, issue 6, 1-14

Abstract: Using the operator L c a defined by Carlson and Shaffer, we defined a new subclass of analytic functions ML c a ( λ ; ψ ) defined by a subordination relation to the shell shaped function ψ ( z ) = z + 1 + z 2 . We determined estimate bounds of the four coefficients of the power series expansions, we gave upper bound for the Fekete–Szeg?Szeg? functional and for the Hankel determinant of order two for f ∈ ML c a ( λ ; ψ ) .

Keywords: analytic functions; Hadamard (convolution) product; Carathéodory functions; Hankel determinant; Fekete–Szeg? problem; Carlson–Shaffer operator; differential subordination (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/6/1041/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/6/1041/ (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:8:y:2020:i:6:p:1041-:d:376578

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 ().