Certain coefficient estimate problems for three-leaf-type starlike functions

Lei Shi; Muhammad Ghaffar Khan; Bakhtiar Ahmad; Wali Khan Mashwani; Praveen Agarwal; Shaher Momani

doi:10.3390/fractalfract5040137

Certain coefficient estimate problems for three-leaf-type starlike functions

Lei Shi
, Muhammad Ghaffar Khan
, Bakhtiar Ahmad
, Wali Khan Mashwani
, Praveen Agarwal
, Shaher Momani

Nonlinear Dynamic Research Centre (NDRC)

Anyang Normal University
Kohat University of Science and Technology
Govt. Degree College Mardan
International College of Engineering
International Center for Basic and Applied Sciences
University of Jordan

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

In our present investigation, some coefficient functionals for a subclass relating to starlike functions connected with three-leaf mappings were considered. Sharp coefficient estimates for the first four initial coefficients of the functions of this class are addressed. Furthermore, we obtain the Fekete–Szegö inequality, sharp upper bounds for second and third Hankel determinants, bounds for logarithmic coefficients, and third-order Hankel determinants for two-fold and three-fold symmetric functions.

Original language	English
Article number	137
Journal	Fractal and Fractional
Volume	5
Issue number	4
DOIs	https://doi.org/10.3390/fractalfract5040137
State	Published - Oct 2021

Keywords

Coefficient bounds
Hankel determinant
Logarithmic coefficients
Starlike functions
Subordinations
Three-leaf function
Two-and three-fold symmetric functions

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10.3390/fractalfract5040137

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title = "Certain coefficient estimate problems for three-leaf-type starlike functions",

abstract = "In our present investigation, some coefficient functionals for a subclass relating to starlike functions connected with three-leaf mappings were considered. Sharp coefficient estimates for the first four initial coefficients of the functions of this class are addressed. Furthermore, we obtain the Fekete–Szeg{\"o} inequality, sharp upper bounds for second and third Hankel determinants, bounds for logarithmic coefficients, and third-order Hankel determinants for two-fold and three-fold symmetric functions.",

keywords = "Coefficient bounds, Hankel determinant, Logarithmic coefficients, Starlike functions, Subordinations, Three-leaf function, Two-and three-fold symmetric functions",

author = "Lei Shi and Khan, \{Muhammad Ghaffar\} and Bakhtiar Ahmad and Mashwani, \{Wali Khan\} and Praveen Agarwal and Shaher Momani",

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language = "English",

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T1 - Certain coefficient estimate problems for three-leaf-type starlike functions

AU - Shi, Lei

AU - Khan, Muhammad Ghaffar

AU - Ahmad, Bakhtiar

AU - Mashwani, Wali Khan

AU - Agarwal, Praveen

AU - Momani, Shaher

PY - 2021/10

Y1 - 2021/10

N2 - In our present investigation, some coefficient functionals for a subclass relating to starlike functions connected with three-leaf mappings were considered. Sharp coefficient estimates for the first four initial coefficients of the functions of this class are addressed. Furthermore, we obtain the Fekete–Szegö inequality, sharp upper bounds for second and third Hankel determinants, bounds for logarithmic coefficients, and third-order Hankel determinants for two-fold and three-fold symmetric functions.

AB - In our present investigation, some coefficient functionals for a subclass relating to starlike functions connected with three-leaf mappings were considered. Sharp coefficient estimates for the first four initial coefficients of the functions of this class are addressed. Furthermore, we obtain the Fekete–Szegö inequality, sharp upper bounds for second and third Hankel determinants, bounds for logarithmic coefficients, and third-order Hankel determinants for two-fold and three-fold symmetric functions.

KW - Coefficient bounds

KW - Hankel determinant

KW - Logarithmic coefficients

KW - Starlike functions

KW - Subordinations

KW - Three-leaf function

KW - Two-and three-fold symmetric functions

UR - https://www.scopus.com/pages/publications/85116031681

U2 - 10.3390/fractalfract5040137

DO - 10.3390/fractalfract5040137

M3 - Article

AN - SCOPUS:85116031681

SN - 2504-3110

VL - 5

JO - Fractal and Fractional

JF - Fractal and Fractional

IS - 4

M1 - 137

ER -

Certain coefficient estimate problems for three-leaf-type starlike functions

Abstract

Keywords

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