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Applications of Modified Sigmoid Functions to a Class of Starlike Functions

تطبيقات الدوال السينية المعدلة على فئة من الدوال الشبيهة بالنجوم
Authors: Muhammad Ghaffar Khan; Bakhtiar Ahmad; G. Murugusundaramoorthy; Ronnason Chinram; Wali Ullah Khan;

Applications of Modified Sigmoid Functions to a Class of Starlike Functions

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 classSSG∗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.

Keywords

Artificial neural network, Artificial intelligence, Class (philosophy), third-order Hankel determinant, Powder Diffraction Analysis, Polymers and Plastics, Materials Science, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Synthesis and Characterization of Polymer Resins, Sigmoid function, QA1-939, FOS: Mathematics, Materials Chemistry, Physics, Geometric Function Theory and Complex Analysis, Pure mathematics, Optics, Focus (optics), Applied mathematics, Computer science, Physical Sciences, modified sigmoid functions, Geometry and Topology, Mathematics, Hypergeometric Functions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Top 10%
Top 10%
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