Sharp Coefficient Problems of Functions with Bounded Turnings Subordinated by Sigmoid Function

Muhammad Arif; Safa Marwa; Qin Xin; Fairouz Tchier; Muhammad Ayaz; Sarfraz Nawaz Malik

Sharp Coefficient Problems of Functions with Bounded Turnings Subordinated by Sigmoid Function

Muhammad Arif, Safa Marwa, Qin Xin, Fairouz Tchier, Muhammad Ayaz , Sarfraz Nawaz Malik

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Abstract

This study deals with analytic functions with bounded turnings, defined in the disk
Od = {z : |z| < 1}. These functions are subordinated by sigmoid function 2
1+e−z and their class is
denoted by BTSg. Sharp coefficient inequalities, including the third Hankel determinant for class
BTSg, were investigated here. The same was also included for the logarithmic coefficients related to
functions of the class BTSg.

Original language	English
Article number	3862
Number of pages	24
Journal	Mathematics
Volume	2022
Issue number	10
Publication status	Published - 18 Oct 2022

Keywords

bounded turning function
logarithmic coefficients
Hankel determinant
sigmoid function

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mathematics-10-03862-v2Licence: CC BY

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title = "Sharp Coefficient Problems of Functions with Bounded Turnings Subordinated by Sigmoid Function",

abstract = "This study deals with analytic functions with bounded turnings, defined in the diskOd = {z : |z| < 1}. These functions are subordinated by sigmoid function 21+e−z and their class isdenoted by BTSg. Sharp coefficient inequalities, including the third Hankel determinant for classBTSg, were investigated here. The same was also included for the logarithmic coefficients related tofunctions of the class BTSg.",

keywords = "bounded turning function, logarithmic coefficients, Hankel determinant, sigmoid function",

author = "Muhammad Arif and Safa Marwa and Qin Xin and Fairouz Tchier and Muhammad Ayaz and Malik, {Sarfraz Nawaz}",

year = "2022",

month = oct,

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language = "English",

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journal = "Mathematics",

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T1 - Sharp Coefficient Problems of Functions with Bounded Turnings Subordinated by Sigmoid Function

AU - Arif, Muhammad

AU - Marwa, Safa

AU - Xin, Qin

AU - Tchier, Fairouz

AU - Ayaz , Muhammad

AU - Malik, Sarfraz Nawaz

PY - 2022/10/18

Y1 - 2022/10/18

N2 - This study deals with analytic functions with bounded turnings, defined in the diskOd = {z : |z| < 1}. These functions are subordinated by sigmoid function 21+e−z and their class isdenoted by BTSg. Sharp coefficient inequalities, including the third Hankel determinant for classBTSg, were investigated here. The same was also included for the logarithmic coefficients related tofunctions of the class BTSg.

AB - This study deals with analytic functions with bounded turnings, defined in the diskOd = {z : |z| < 1}. These functions are subordinated by sigmoid function 21+e−z and their class isdenoted by BTSg. Sharp coefficient inequalities, including the third Hankel determinant for classBTSg, were investigated here. The same was also included for the logarithmic coefficients related tofunctions of the class BTSg.

KW - bounded turning function

KW - logarithmic coefficients

KW - Hankel determinant

KW - sigmoid function

M3 - Article

SN - 2227-7390

VL - 2022

JO - Mathematics

JF - Mathematics

IS - 10

M1 - 3862

ER -

Sharp Coefficient Problems of Functions with Bounded Turnings Subordinated by Sigmoid Function

Abstract

Keywords

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