THE THIRD HANKEL DETERMINANT FOR INVERSE COEFFICIENTS OF CONVEX FUNCTIONS

被引：2

作者：

Raza, Mohsan ^{[1
]}

Riaz, Amina ^{[2
]}

Thomas, Derek K. ^{[3
]}

机构：

[1] Govt Coll Univ, Dept Math, Faisalabad, Pakistan

[2] COMSATS Univ Isalamabad, Dept Math, Lahore Campus, Lahore, Pakistan

[3] Swansea Univ, Sch Math & Comp Sci, Bay Campus, Swansea SA1 8EN, Wales

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2024年 / 109卷 / 01期

关键词：

univalent; starlike; convex function; Hankel determinant; inverse coefficients; invariance; BOUNDS; KIND; 2ND;

D O I：

10.1017/S0004972723000357

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The sharp bound for the third Hankel determinant for the coefficients of the inverse function of convex functions is obtained, thus answering a recent conjecture concerning invariance of coefficient functionals for convex functions.

引用

页码：94 / 100

页数：7

共 50 条

[21] Third Hankel Determinant for α-Convex Functions Related to a Leaf-like Domain
Kumar, V. Suman
Sharma, R. B.
Haripriya, M.
RECENT DEVELOPMENTS IN MATHEMATICAL ANALYSIS AND COMPUTING, 2019, 2095
[22] The Sharp Bound of the Hankel Determinant of the Third Kind for Starlike Functions with Real Coefficients
Kwon, Oh Sang
Sim, Young Jae
MATHEMATICS, 2019, 7 (08)
[23] Third Hankel Determinant for the Logarithmic Coefficients of Starlike Functions Associated with Sine Function
Khan, Bilal
Aldawish, Ibtisam
Araci, Serkan
Khan, Muhammad Ghaffar
FRACTAL AND FRACTIONAL, 2022, 6 (05)
[24] The sharp bound for the third Hankel determinant of the inverse of functions associated with lemniscate of Bernoulli
Viswanadh, G. K. Surya
Rath, Biswajit
Kumar, K. Sanjay
Krishna, D. Vamshee
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (07)
[25] The Second Hankel Determinant of Logarithmic Coefficients for Strongly Ozaki Close-to-Convex Functions
Sevtap Sümer Eker
Adam Lecko
Bilal Çekiç
Bilal Şeker
Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46
[26] The Second Hankel Determinant of Logarithmic Coefficients for Strongly Ozaki Close-to-Convex Functions
Eker, Sevtap Suemer
Lecko, Adam
Cekic, Bilal
Seker, Bilal
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (06)
[27] THE SHARP BOUND OF THE THIRD HANKEL DETERMINANT FOR CONVEX FUNCTIONS OF ORDER-1/2
Kowalczyk, Bogumila
Lecko, Adam
Thomas, Derek K.
JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (01): : 191 - 204
[28] The second Hankel determinant of logarithmic coefficients and logarithmic inverse coefficients for the class of bounded turning functions of order α
Bilal Şeker
Bilal Çekiç
Sevtap Sümer
Onur Akçiçek
Lithuanian Mathematical Journal, 2024, 64 (4) : 530 - 545
[29] The second Hankel determinant for logarithmic coefficients of inverse functions of bounded turning of a given order
Lecko, Adam
Smiarowska, Barbara
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2024, 30 (02):
[30] Third Hankel Determinant of Bounded Analytic Functions
Mohamed, Norlyda
Malek, Aminah Abdul
Hamzah, Nik Haziqah Wan
Suhaini, Nur Suziana
Madzuki, Nurul Syahirah
4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019), 2019, 2138

← 1 2 3 4 5 →