What type of study is this?

This is a Quantitative Study study.

September 29, 2025Open Access

On certain subclasses of analytic and harmonic mappings

Key Points

The study establishes fundamental properties for functions within the class of harmonic mappings, focusing on coefficient bounds and growth rates.
Key metrics include the sharp bound of the Hankel determinant for normalized analytic univalent functions under certain conditions.
Investigation of the class of functions reveals essential features like starlikeness and inverse logarithmic coefficient constraints.
Results contribute to understanding the structure of harmonic functions, showing implications for broader mathematical theories.

Abstract

Let H be the class of harmonic functions f=h+g in the unit disk D: =\{z: |z|0 and (0, 1]. In this paper, we investigate fundamental properties for functions in the class D₇⁰ (, M), such as the coefficient bounds, growth estimates, starlikeness and some other properties. Furthermore, we obtain the sharp bound of the second Hankel determinant of inverse logarithmic coefficients for normalized analytic univalent functions f (M) in D satisfying the condition Re (zf'' (z) ) >-M for 0<M 1/4 and z.

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Cite This Study

Raju Biswas (Sun,) studied this question.

synapsesocial.com/papers/68da58e0c1728099cfd117ad https://doi.org/https://doi.org/10.48550/arxiv.2505.19160