Sharp Bounds on the Third Hankel Determinants for Starlike and Convex Functions Associated with the Gregory Coefficients

ABSTRACT In this paper, we study Hankel determinants of the coefficients of Taylor series of subclasses of starlike and convex functions. We give sharp bounds for third Hankel determinant of starlike and convex functions associated with Gregory coefficients. Our results improve the results for both classes studied in the literature.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2026-03-02
DOI
https://doi.org/10.1002/mma.70640
Primary Topic
Analytic and geometric function theory
Type
article
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article

Sharp Bounds on the Third Hankel Determinants for Starlike and Convex Functions Associated with the Gregory Coefficients

Moosa Raza, H. M. Srivastava
Mathematical Methods in the Applied Sciences
Analytic and geometric function theory
article

Sharp Bounds on the Third Hankel Determinants for Starlike and Convex Functions Associated with the Gregory Coefficients

Moosa Raza, H. M. Srivastava
article en

Abstract

ABSTRACT In this paper, we study Hankel determinants of the coefficients of Taylor series of subclasses of starlike and convex functions. We give sharp bounds for third Hankel determinant of starlike and convex functions associated with Gregory coefficients. Our results improve the results for both classes studied in the literature.

Mathematical Methods in the Applied Sciences
Chung Yuan Christian University (TW), China Medical University (TW), Government College University, Faisalabad (PK), University of Victoria (CA), Kyung Hee University (KR), China Medical University Hospital (TW), Azerbaijan University (AZ)
Openalex Percentile: Top 27%
Analytic and geometric function theory
DOISourceOpenAlex
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Sharp Bounds on the Third Hankel Determinants for Starlike and Convex Functions Associated with the Gregory Coefficients — Moosa Raza, H. M. Srivastava · Mathematical Methods in the Applied Sciences (2026) | TGRS Research Map | TGRS