{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:18:11Z","timestamp":1760145491835,"version":"build-2065373602"},"reference-count":29,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2024,7,31]],"date-time":"2024-07-31T00:00:00Z","timestamp":1722384000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>By using the Mittag\u2013Leffler function associated with functions of bounded boundary rotation, the authors introduce a few new subclasses of bi-univalent functions involving the Mittag\u2013Leffler function with bounded boundary rotation in the open unit disk D. For these new classes, the authors establish initial coefficient bounds of |a2| and |a3|. Furthermore, the famous Fekete\u2013Szeg\u00f6 coefficient inequality is also obtained for these new classes of functions.<\/jats:p>","DOI":"10.3390\/sym16080971","type":"journal-article","created":{"date-parts":[[2024,8,1]],"date-time":"2024-08-01T15:26:53Z","timestamp":1722526013000},"page":"971","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Initial Coefficient Bounds for Certain New Subclasses of Bi-Univalent Functions Involving Mittag\u2013Leffler Function with Bounded Boundary Rotation"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0745-3347","authenticated-orcid":false,"given":"Ibtisam","family":"Aldawish","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh 11564, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Prathviraj","family":"Sharma","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4052-391X","authenticated-orcid":false,"given":"Sheza M.","family":"El-Deeb","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia"},{"name":"Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mariam R.","family":"Almutiri","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7294-5922","authenticated-orcid":false,"given":"Srikandan","family":"Sivasubramanian","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,7,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1007\/BF02403200","article-title":"Sur la repr\u00e9sentation analytique d\u2019une branche uniforme d\u2019une fonction monog\u00e8ne","volume":"29","year":"1905","journal-title":"Acta Math."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Noreen, S., Raza, M., Liu, J.-L., and Arif, M. 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