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

Research output: Contribution to journalArticlepeer-review

1 Downloads (Pure)

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 languageEnglish
Article number3862
Number of pages24
JournalMathematics
Volume2022
Issue number10
Publication statusPublished - 18 Oct 2022

Keywords

  • bounded turning function
  • logarithmic coefficients
  • Hankel determinant
  • sigmoid function

Fingerprint

Dive into the research topics of 'Sharp Coefficient Problems of Functions with Bounded Turnings Subordinated by Sigmoid Function'. Together they form a unique fingerprint.

Cite this