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Applications of Modified Sigmoid Functions to a Class of Starlike Functions
M.G. Khan, B. Ahmad, , R. Chinram, W.K. Mashwani
Published in Hindawi Limited
2020
Volume: 2020
   
Abstract
The main focus of this investigation is the applications of modified sigmoid functions. Due to its various uses in physics, engineering, and computer science, we discuss several geometric properties like necessary and sufficient conditions in the form of convolutions for functions to be in the special class SSG∗ earlier introduced by Goel and Kumar and obtaining third-order Hankel determinant for this class using modified sigmoid functions. Also, the third-order Hankel determinant for 2- and 3-fold symmetric functions of this class is evaluated. © 2020 Muhammad Ghaffar Khan et al.
About the journal
JournalJournal of Function Spaces
PublisherHindawi Limited
ISSN23148896