What does this research mean for the field?

A new class of harmonic univalent functions associated with subordination has been introduced, characterized by specific convolution conditions and distortion bounds. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to define a new class of harmonic univalent functions and explore their properties.

March 1, 2026LOGIKA Jurnal Pendidikan Matematika

On a New Class of Salagean-Type Harmonic Univalent Functions Associated With Subordination

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Authors

STSibel Yalçın Tokgöz SÇSerkan ÇakmakGelişim Üniversitesi ŞAŞahsene AltınkayaUniversity of Turku

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Implication

This investigation introduces a new class of harmonic univalent functions, highlighting significant properties and implications.

Key Points

The aim is to define a new class of harmonic univalent functions and explore their properties.
Introduced a harmonic function of the form f = h + (g) over bar in the unit disk.
Analyzed necessary and sufficient conditions for convolution of these functions.
Evaluated distortion bounds and compactness for the new function class.
Examined extreme points associated with the class.
Established key properties of the newly defined functions.
Identified specific conditions for convolution applicable to these functions.
Derived distortion bounds relevant to their behavior within the unit disk.

Cite This Study

Tokgöz et al. (2018) studied this question.

synapsesocial.com/papers/69a3d856ec16d51705d2f16c https://doi.org/10.5831/hmj.2018.40.3.433

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On a New Class of Salagean-Type Harmonic Univalent Functions Associated With Subordination

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Implication

Key Points

Cite This Study

On a New Class of Salagean-Type Harmonic Univalent Functions Associated With Subordination

Discussion

Member takes

Implication

Key Points

Cite This Study

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