The second and third Hankel determinants for starlike and convex functions associated with Three-Leaf function

In this paper, we give sharp bounds of the Hankel determinant H2(3)(f) for the coefficients of functions in the class of starlike functions related to a domain that is like three leaves. We also give sharp bounds for the Hankel determinants H3(1)(f) and H2(3)(f) for the coefficients of functions in...

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Bibliographic Details
Published inHeliyon Vol. 9; no. 1; p. e12748
Main Authors Riaz, Amina, Raza, Mohsan, Binyamin, Muhammad Ahsan, Saliu, Afis
Format Journal Article
LanguageEnglish
Published England Elsevier Ltd 01.01.2023
Elsevier
Subjects
Convex function
Hankel determinants
Starlike function
Three-leaf function
Univalent function
Univalent function
Convex function
Three-leaf function
Starlike function
Hankel determinants
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Summary:In this paper, we give sharp bounds of the Hankel determinant H2(3)(f) for the coefficients of functions in the class of starlike functions related to a domain that is like three leaves. We also give sharp bounds for the Hankel determinants H3(1)(f) and H2(3)(f) for the coefficients of functions in the class of convex functions related to the three-leaf-like domain.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:2405-8440
2405-8440
DOI:10.1016/j.heliyon.2022.e12748