Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function

In this study, the connection between certain subfamilies of harmonic univalent functions is established by utilizing a convolution operator involving the Mittag–Leffler function. The investigation reveals inclusion relations concerning harmonic γ-uniformly starlike mappings in the open unit disc, harmonic starlike functions and harmonic convex functions, highlighting the improvements given by the results presented here on previously published outcomes.

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Journal
Axioms
Published
2024-11-26
DOI
https://doi.org/10.3390/axioms13120826
Primary Topic
Analytic and geometric function theory
Type
article
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0.00
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article

Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function

Georgia Irina Oros, Seher Melike Aydoǧan, Naci Taşar, Fethiye Müge Sakar
Axioms
Analytic and geometric function theory
article

Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function

Georgia Irina Oros, Seher Melike Aydoǧan, Naci Taşar, Fethiye Müge Sakar
article en

Abstract

In this study, the connection between certain subfamilies of harmonic univalent functions is established by utilizing a convolution operator involving the Mittag–Leffler function. The investigation reveals inclusion relations concerning harmonic γ-uniformly starlike mappings in the open unit disc, harmonic starlike functions and harmonic convex functions, highlighting the improvements given by the results presented here on previously published outcomes.

AxiomsVol. 13(12)
Dicle University (TR), University of Oradea (RO), Istanbul Technical University (TR)
Reduced inequalities
Openalex Percentile: Top 67%
Analytic and geometric function theory
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