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Article
Peer-Review Record

Sharp Bounds for the Second Hankel Determinant of Logarithmic Coefficients for Strongly Starlike and Strongly Convex Functions

by Sevtap Sümer Eker 1,*, Bilal Şeker 1, Bilal Çekiç 1 and Mugur Acu 2
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Submission received: 17 May 2022 / Revised: 6 June 2022 / Accepted: 7 June 2022 / Published: 28 July 2022
(This article belongs to the Special Issue New Developments in Geometric Function Theory)

Round 1

Reviewer 1 Report

In this article authors studied studied the second  Hankel Determinant of Logarithmic Coefficients for Strongly Starlike and Strongly Convex functions. There are several article in this direction. However, the presentation of this article are very good. All the result and its sharpness are explained nicely.   Due to the above mention reason and mathematical soundness of the article, my recommendation for its publication in Axioms.  

Author Response

Necessary revisions have been made.

Reviewer 2 Report

The purpose of the work is to calculate sharp limits for the Second Hankel Determinant of Logarithmic Coefficients for function classes: strongly starlike of order alpha and strongly convex of order alpha. The considerations presented in the paper cover the current research topic in this field. The work presents the right context and gives new estimates. However, I have a request for minor corrections: 1) in Latex function names should be written with \operatorname{} eg. \operatorname{min}, \operatorname{min} or \operatorname{arg} etc. 2) in eq 19 some symbols are in the margin; I propose to break the line as above in eq 18 I propose to accept the work for publication after minor corrections.

Author Response

Necessary revisions have been made.

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