{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,26]],"date-time":"2025-11-26T22:07:35Z","timestamp":1764194855810,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2024,7,3]],"date-time":"2024-07-03T00:00:00Z","timestamp":1719964800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"University of Oradea, Romania"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In the present paper, we are merging two interesting and well-known classes, namely those of Bazilevi\u010d and close-to-convex functions associated with a new derivative operator. We derive coefficient estimates for this broad category of analytic, univalent and bi-univalent functions and draw attention to the Fekete\u2013Szeg\u00f6 inequalities relevant to functions defined within the open unit disk. Additionally, we identify several specific special cases of our results by specializing the parameters.<\/jats:p>","DOI":"10.3390\/sym16070836","type":"journal-article","created":{"date-parts":[[2024,7,3]],"date-time":"2024-07-03T06:04:18Z","timestamp":1719986658000},"page":"836","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Some Classes of Bazilevi\u010d-Type Close-to-Convex Functions Involving a New Derivative Operator"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9355-3402","authenticated-orcid":false,"given":"Pishtiwan Othman","family":"Sabir","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Science, University of Sulaimani, Sulaymaniyah 46001, Iraq"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2855-7535","authenticated-orcid":false,"given":"Alina Alb","family":"Lupas","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sipal Saeed","family":"Khalil","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Education, University of Zakho, Zakho 42002, Iraq"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6837-8075","authenticated-orcid":false,"given":"Pshtiwan Othman","family":"Mohammed","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Education, University of Sulaimani, Sulaymaniyah 46001, Iraq"},{"name":"Research and Development Center, University of Sulaimani, Sulaymaniyah 46001, Iraq"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9896-6692","authenticated-orcid":false,"given":"Mohamed","family":"Abdelwahed","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,7,3]]},"reference":[{"key":"ref_1","unstructured":"Duren, P.L. (1983). Univalent Functions. Grundlehren der Mathematischen Wissenschaften, Band 259, Springer."},{"key":"ref_2","unstructured":"Thomas, D.K., Tuneski, N., and Vasudevarao, A. (1918). Univalent Functions: A Primer, Walter de Gruyter GmbH & Co KG."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"65","DOI":"10.2307\/2373224","article-title":"On starlike functions of order \u03b1","volume":"87","author":"Schild","year":"1965","journal-title":"Am. J. Math."},{"key":"ref_4","first-page":"940","article-title":"\u00dcber die Koeffizienten derjenigen Potenzreihen, welche eine schlichte Abbildung des Einheitskreises vermitteln","volume":"138","author":"Bieberbach","year":"1916","journal-title":"Sitzungsber. Preuss. Akad. Wiss. Phys. 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