The third Hankel determinant for starlike and convex functions associated with lune

In this paper, sharp bounds on the Hankel determinantH3,1(f):=|a1a2a3a2a3a4a3a4a5|are given for the functions f of the form f(z)=z+a2z2+⋯ such that zf′(z)/f(z) or 1+zf″(z)/f′(z) are subordinated by z+1+z2.

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Bibliographic Details
Published inBulletin des sciences mathématiques Vol. 187; p. 103289
Main Authors Riaz, Amina, Raza, Mohsan
Format Journal Article
LanguageEnglish
Published Elsevier Masson SAS 01.10.2023
Subjects
Convex functions
Hankel determinant
Lune
Starlike functions
Starlike functions
Convex functions
Lune
Hankel determinant
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Summary:In this paper, sharp bounds on the Hankel determinantH3,1(f):=|a1a2a3a2a3a4a3a4a5|are given for the functions f of the form f(z)=z+a2z2+⋯ such that zf′(z)/f(z) or 1+zf″(z)/f′(z) are subordinated by z+1+z2.
ISSN:0007-4497
1952-4773
DOI:10.1016/j.bulsci.2023.103289