Categories of Harmonic Functions in the Symmetric Unit Disk Linked to the Bessel Function

Here in this paper, we establish the basic inclusion relations among the harmonic class HF(σ,η) with the classes SHF* of starlike harmonic functions and KHF of convex harmonic functions defined in open symmetric unit disk U. Moreover, we investigate inclusion connections for the harmonic classes TNHF(ϱ) and TQHF(ϱ) of harmonic functions by applying the operator Λ associated with the Bessel function. Furthermore, several special cases of the main results are obtained for the particular case σ=0.

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Publication Details

Journal
Symmetry
Published
2025-09-22
DOI
https://doi.org/10.3390/sym17091581
Citations
2
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
8.18
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article

Categories of Harmonic Functions in the Symmetric Unit Disk Linked to the Bessel Function

Basem Aref Frasin, Naci Taşar, Ibtisam Mohammed Aldawish, Fethiye Müge Sakar
2 citations
Symmetry
Analytic and geometric function theory
8.18
article

Categories of Harmonic Functions in the Symmetric Unit Disk Linked to the Bessel Function

Basem Aref Frasin, Naci Taşar, Ibtisam Mohammed Aldawish, Fethiye Müge Sakar
article en
2 citations

Abstract

Here in this paper, we establish the basic inclusion relations among the harmonic class HF(σ,η) with the classes SHF* of starlike harmonic functions and KHF of convex harmonic functions defined in open symmetric unit disk U. Moreover, we investigate inclusion connections for the harmonic classes TNHF(ϱ) and TQHF(ϱ) of harmonic functions by applying the operator Λ associated with the Bessel function. Furthermore, several special cases of the main results are obtained for the particular case σ=0.

SymmetryVol. 17(9)
Dicle University (TR), Imam Mohammad ibn Saud Islamic University (SA), Al al-Bayt University (JO)
Openalex Percentile: Top 2%
Analytic and geometric function theory
8.18
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Categories of Harmonic Functions in the Symmetric Unit Disk Linked to the Bessel Function — Basem Aref Frasin, Naci Taşar, et al. · Symmetry (2025) | TGRS Research Map | TGRS