{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T12:40:05Z","timestamp":1783514405150,"version":"3.55.0"},"reference-count":32,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2024,11,26]],"date-time":"2024-11-26T00:00:00Z","timestamp":1732579200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this study, the connection between certain subfamilies of harmonic univalent functions is established by utilizing a convolution operator involving the Mittag\u2013Leffler function. The investigation reveals inclusion relations concerning harmonic \u03b3-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.<\/jats:p>","DOI":"10.3390\/axioms13120826","type":"journal-article","created":{"date-parts":[[2024,11,27]],"date-time":"2024-11-27T10:05:56Z","timestamp":1732701956000},"page":"826","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Relations of Harmonic Starlike Function Subclasses with Mittag\u2013Leffler Function"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7555-5543","authenticated-orcid":false,"given":"Naci","family":"Ta\u015far","sequence":"first","affiliation":[{"name":"Department of Mathematics, Institute of Sciences, Dicle University, Diyarbakir 21280, Turkey"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3884-3957","authenticated-orcid":false,"given":"Fethiye M\u00fcge","family":"Sakar","sequence":"additional","affiliation":[{"name":"Department of Management, Dicle University, Diyarbakir 21280, Turkey"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4822-9571","authenticated-orcid":false,"given":"Seher Melike","family":"Aydo\u011fan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Istanbul Technical University, Istanbul 34485, Turkey"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2902-4455","authenticated-orcid":false,"given":"Georgia Irina","family":"Oros","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,11,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3","DOI":"10.5186\/aasfm.1984.0905","article-title":"Harmonic univalent functions","volume":"9","author":"Clunie","year":"1984","journal-title":"Ann. 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