Comprehensive Analysis of the Fourth Hankel Determinant Associated with the Class of Janowski Starlike Functions with Complex Parameters

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1Mirajul Haq, 2Mustaqeem Khan, 3Khalil Ullah, 4Ihsan Ullah Khan, 5Zainab Gul Awan, 6Waqas Ahmad, 7Waseem Ali

Abstract

We consider the class of normalized holomorphic functions f in


such a way that the ratio ((fr(z))/(q(z)) is subordinate to function


1+Az (Janowski function), and q(z) is subordinate to 2


−z (sigmoid


1+Bz 1+e


function), and we derive a fourth Hankel determinant bound for this.

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