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 <inline-formula><math xmlns="http://www....
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| Language: | English |
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MDPI AG
2024-11-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/13/12/826 |
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| _version_ | 1846105838366752768 |
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| author | Naci Taşar Fethiye Müge Sakar Seher Melike Aydoğan Georgia Irina Oros |
| author_facet | Naci Taşar Fethiye Müge Sakar Seher Melike Aydoğan Georgia Irina Oros |
| author_sort | Naci Taşar |
| collection | DOAJ |
| description | 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula>-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. |
| format | Article |
| id | doaj-art-32dd4a9484384ca889dc5bec89b03084 |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-32dd4a9484384ca889dc5bec89b030842024-12-27T14:10:20ZengMDPI AGAxioms2075-16802024-11-01131282610.3390/axioms13120826Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler FunctionNaci Taşar0Fethiye Müge Sakar1Seher Melike Aydoğan2Georgia Irina Oros3Department of Mathematics, Institute of Sciences, Dicle University, Diyarbakir 21280, TurkeyDepartment of Management, Dicle University, Diyarbakir 21280, TurkeyDepartment of Mathematics, Istanbul Technical University, Istanbul 34485, TurkeyDepartment of Mathematics and Computer Science, University of Oradea, 410087 Oradea, RomaniaIn 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula>-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.https://www.mdpi.com/2075-1680/13/12/826harmonic starlike functionharmonic γ-uniformly starlike functionharmonic convex functionMittag–Leffler functionanalytic functionunivalent function |
| spellingShingle | Naci Taşar Fethiye Müge Sakar Seher Melike Aydoğan Georgia Irina Oros Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function Axioms harmonic starlike function harmonic γ-uniformly starlike function harmonic convex function Mittag–Leffler function analytic function univalent function |
| title | Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function |
| title_full | Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function |
| title_fullStr | Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function |
| title_full_unstemmed | Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function |
| title_short | Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function |
| title_sort | relations of harmonic starlike function subclasses with mittag leffler function |
| topic | harmonic starlike function harmonic γ-uniformly starlike function harmonic convex function Mittag–Leffler function analytic function univalent function |
| url | https://www.mdpi.com/2075-1680/13/12/826 |
| work_keys_str_mv | AT nacitasar relationsofharmonicstarlikefunctionsubclasseswithmittaglefflerfunction AT fethiyemugesakar relationsofharmonicstarlikefunctionsubclasseswithmittaglefflerfunction AT sehermelikeaydogan relationsofharmonicstarlikefunctionsubclasseswithmittaglefflerfunction AT georgiairinaoros relationsofharmonicstarlikefunctionsubclasseswithmittaglefflerfunction |