{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,17]],"date-time":"2026-06-17T02:43:00Z","timestamp":1781664180705,"version":"3.54.5"},"reference-count":33,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2024,2,3]],"date-time":"2024-02-03T00:00:00Z","timestamp":1706918400000},"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>In the current exploration, we defined new subclasses of analytic functions, namely Rlim(l,\u03bd) and Clim(l,\u03bd), defined by subordination linked with a Limacon-shaped domain. We found a few initial coefficient bounds and Fekete\u2013Szeg\u0151 inequalities for the functions in the above-stated new classes. The corresponding results have been derived for the function h\u22121. Additionally, we discuss the Poisson distribution as an application of our consequences.<\/jats:p>","DOI":"10.3390\/sym16020183","type":"journal-article","created":{"date-parts":[[2024,2,5]],"date-time":"2024-02-05T05:22:44Z","timestamp":1707110564000},"page":"183","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Coefficient Bounds for Two Subclasses of Analytic Functions Involving a Limacon-Shaped Domain"],"prefix":"10.3390","volume":"16","author":[{"given":"Daniel","family":"Breaz","sequence":"first","affiliation":[{"name":"Department of Mathematics, \u201c1 Decembrie 1918\u201d University of Alba Iulia, 510009 Alba Iulia, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Trailokya","family":"Panigrahi","sequence":"additional","affiliation":[{"name":"Institute of Mathematics and Applications, Andharua, Bhubaneswar 751029, Odisha, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"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 and Arts, Al-Badaya, Qassim University, Buraidah 52571, Saudi Arabia"},{"name":"Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Eureka","family":"Pattnayak","sequence":"additional","affiliation":[{"name":"Institute of Mathematics and Applications, Andharua, Bhubaneswar 751029, Odisha, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Srikandan","family":"Sivasubramanian","sequence":"additional","affiliation":[{"name":"Department of Sciences and Humanities, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamil Nadu, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,2,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1112\/jlms\/s1-41.1.111","article-title":"On the coefficients and Hankel determinants of univalent functions","volume":"41","author":"Pommerenke","year":"1966","journal-title":"J. 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