Second-Order Hermitian–Toeplitz Determinants for the classes of Sakaguchi Convex and Starlike functions

Sushil Kumar; Rakesh Kumar Pandey; Pratima Rai

doi:10.3934/mfc.2024034

Article Contents

2025, Volume 8, Issue 4: 518-528. Doi: 10.3934/mfc.2024034

This issue Previous Article Locally dually flatness properties in cubic $ (\alpha, \beta) $-Metric Next Article Fixed point property for nonexpansive mappings on large classes in Köthe-Toeplitz duals of certain difference sequence spaces

Second-Order Hermitian–Toeplitz Determinants for the classes of Sakaguchi Convex and Starlike functions

1.
Bharati Vidyapeeth’s College of Engineering, Delhi-110063, India
2.
Department of Mathematics, University of Delhi, Delhi-110007, India

^*Corresponding author: Sushil Kumar
^*Corresponding author: Sushil Kumar

Received: November 2023

Revised: June 2024

Early access: July 2024

Published: August 2025

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Abstract

In this paper, we study the second order Hermitian-Toeplitz determinant for the functions belonging to certain subclasses of univalent functions defined in the open unit disk in the Argand plane. In the demonstration of the proofs, we apply some coefficients inequalities for functions with positive real part due to Libera and Zlotkiewicz [12].

Keywords:

Sakaguchi convex and starlike functions,
parabolic function,
rational function,
logarithmic inverse coefficients,
Hermitian-Toeplitz determinant.

Mathematics Subject Classification: Primary: 30C45; Secondary: 30C50.

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References

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