{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:18:28Z","timestamp":1760149108336,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,6,28]],"date-time":"2023-06-28T00:00:00Z","timestamp":1687910400000},"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>We introduce a new subclass J\u03a3\u03b7,\u03b4,\u03bc(p\u02dc) of bi-univalent functions, defined by shell-like curves connected with Fibonacci numbers. Our main results in this paper include estimates of the Taylor\u2013Maclaurin coefficients a2 and a3 for functions in this subclass, as well as solutions to Fekete\u2013Szeg\u00f6 functional problems. We also show novel outcomes resulting from the specialization of the parameters used in our main results.<\/jats:p>","DOI":"10.3390\/axioms12070639","type":"journal-article","created":{"date-parts":[[2023,6,28]],"date-time":"2023-06-28T00:50:52Z","timestamp":1687913452000},"page":"639","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Applications of Shell-like Curves Connected with Fibonacci Numbers"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9287-7704","authenticated-orcid":false,"given":"Ala","family":"Amourah","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid 21110, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0745-3347","authenticated-orcid":false,"given":"Ibtisam","family":"Aldawish","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, IMSIU (Imam Mohammad Ibn Saud Islamic University), Riyadh 11566, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8608-8063","authenticated-orcid":false,"given":"Basem Aref","family":"Frasin","sequence":"additional","affiliation":[{"name":"Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq 25113, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4341-6300","authenticated-orcid":false,"given":"Tariq","family":"Al-Hawary","sequence":"additional","affiliation":[{"name":"Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,6,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1145\/202840.606479","article-title":"Problems on algorithms","volume":"26","author":"Parberry","year":"1995","journal-title":"ACM Sigact News"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1016\/0022-247X(78)90181-6","article-title":"Second Order Differential Inequalities in the Complex Plane","volume":"65","author":"Miller","year":"1978","journal-title":"J. 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