THE SHARP BOUND OF THE GENERALIZED ZALCMAN FOR THE INITIAL COEFFICIENT AND CERTAIN SECOND HANKEL DETERMINANTS OF kth-ROOT TRANSFORMATION FOR A SUBCLASS OF HOLOMORPHIC FUNCTIONS

The objective of this paper is to estimate the sharp bound of the second Hankel determinants H 2,1,k (f ), H 2,2,k (f ) and generalized Zalcman for the initial coefficient for k th -root transformation to the subclass of Holomorphic functions.

Publication Details

Journal
Poincare Journal of Analysis and Applications
Published
2024-10-27
DOI
https://doi.org/10.46753/pjaa.2024.v011i02.004
Primary Topic
advanced mathematical theories
Type
article
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article

THE SHARP BOUND OF THE GENERALIZED ZALCMAN FOR THE INITIAL COEFFICIENT AND CERTAIN SECOND HANKEL DETERMINANTS OF kth-ROOT TRANSFORMATION FOR A SUBCLASS OF HOLOMORPHIC FUNCTIONS

Poincare Journal of Analysis and Applications
advanced mathematical theories
article

THE SHARP BOUND OF THE GENERALIZED ZALCMAN FOR THE INITIAL COEFFICIENT AND CERTAIN SECOND HANKEL DETERMINANTS OF kth-ROOT TRANSFORMATION FOR A SUBCLASS OF HOLOMORPHIC FUNCTIONS

article en

Abstract

The objective of this paper is to estimate the sharp bound of the second Hankel determinants H 2,1,k (f ), H 2,2,k (f ) and generalized Zalcman for the initial coefficient for k th -root transformation to the subclass of Holomorphic functions.

Poincare Journal of Analysis and ApplicationsVol. 11(2)
Reduced inequalities
Openalex Percentile: Top 64%
advanced mathematical theories
DOIOpen Access PDFOpenAlex
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THE SHARP BOUND OF THE GENERALIZED ZALCMAN FOR THE INITIAL COEFFICIENT AND CERTAIN SECOND HANKEL DETERMINANTS OF kth-ROOT TRANSFORMATION FOR A SUBCLASS OF HOLOMORPHIC FUNCTIONS · Poincare Journal of Analysis and Applications (2024) | TGRS Research Map | TGRS