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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

Year: 2024

Type: article

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.

Source: Poincare Journal of Analysis and Applications

DOI: 10.46753/pjaa.2024.v011i02.004

Author: VISWANADH, BRATH, KUMAR, AND KRISHNA

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404914128

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