{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T01:12:27Z","timestamp":1767834747712,"version":"3.49.0"},"reference-count":41,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2024,2,11]],"date-time":"2024-02-11T00:00:00Z","timestamp":1707609600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"King Saud University, Riyadh, Saudi Arabia","award":["RSPD2024R860"],"award-info":[{"award-number":["RSPD2024R860"]}]},{"name":"University of Oradea, Romania","award":["RSPD2024R860"],"award-info":[{"award-number":["RSPD2024R860"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this study, we introduce a new class of normalized analytic and bi-univalent functions denoted by D\u03a3(\u03b4,\u03b7,\u03bb,t,r). These functions are connected to the Bazilevi\u010d functions and the \u03bb-pseudo-starlike functions. We employ Sakaguchi Type Functions and Horadam polynomials in our survey. We establish the Fekete-Szeg\u00f6 inequality for the functions in D\u03a3(\u03b4,\u03b7,\u03bb,t,r) and derive upper bounds for the initial Taylor\u2013Maclaurin coefficients |a2| and |a3|. Additionally, we establish connections between our results and previous research papers on this topic.<\/jats:p>","DOI":"10.3390\/sym16020218","type":"journal-article","created":{"date-parts":[[2024,2,12]],"date-time":"2024-02-12T04:47:45Z","timestamp":1707713265000},"page":"218","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Applications of Horadam Polynomials for Bazilevi\u010d and \u03bb-Pseudo-Starlike Bi-Univalent Functions Associated with Sakaguchi Type Functions"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5287-4656","authenticated-orcid":false,"given":"Isra","family":"Al-Shbeil","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5838-7365","authenticated-orcid":false,"given":"Abbas Kareem","family":"Wanas","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, University of Al-Qadisiyah, Al Diwaniyah 58001, Iraq"}]},{"given":"Hala","family":"AlAqad","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, United Arab Emirates"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1000-7375","authenticated-orcid":false,"given":"Adriana","family":"C\u0103ta\u015f","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-0052-4976","authenticated-orcid":false,"given":"Hanan","family":"Alohali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2024,2,11]]},"reference":[{"key":"ref_1","first-page":"261","article-title":"On Bazilevi\u010d functions","volume":"38","author":"Singh","year":"1973","journal-title":"Proc. Am. Math. Soc."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"137","DOI":"10.7153\/jca-03-12","article-title":"On \u03bb-pseudo-starlike functions","volume":"3","author":"Babalola","year":"2013","journal-title":"J. Class. Anal."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"49","DOI":"10.2478\/tmj-2018-0004","article-title":"On \u03bb-pseudo bi-starlike and \u03bb-pseudo bi-convex functions with respect to symmetrical points","volume":"11","author":"Eker","year":"2018","journal-title":"Tbilisi Math. 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