{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T19:22:44Z","timestamp":1770751364243,"version":"3.50.0"},"reference-count":33,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2022,6,1]],"date-time":"2022-06-01T00:00:00Z","timestamp":1654041600000},"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>The zero-truncated Poisson distribution is an important and appropriate model for many real-world applications. Here, we exploit the zero-truncated Poisson distribution probabilities to construct a new subclass of analytic bi-univalent functions involving Gegenbauer polynomials. For functions in the constructed class, we explore estimates of Taylor\u2013Maclaurin coefficients a2 and a3, and next, we solve the Fekete\u2013Szeg\u0151 functional problem. A number of new interesting results are presented to follow upon specializing the parameters involved in our main results.<\/jats:p>","DOI":"10.3390\/axioms11060267","type":"journal-article","created":{"date-parts":[[2022,6,1]],"date-time":"2022-06-01T03:33:18Z","timestamp":1654054398000},"page":"267","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":26,"title":["An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2740-7081","authenticated-orcid":false,"given":"Feras","family":"Yousef","sequence":"first","affiliation":[{"name":"Department of Mathematics, The University of Jordan, Amman 11942, Jordan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9287-7704","authenticated-orcid":false,"given":"Ala","family":"Amourah","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Irbid National University, Irbid 21110, Jordan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8608-8063","authenticated-orcid":false,"given":"Basem Aref","family":"Frasin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Al al-Bayt University, Mafraq 25113, Jordan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8026-218X","authenticated-orcid":false,"given":"Teodor","family":"Bulboac\u0103","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics and Computer Science, Babe\u015f-Bolyai University, 400084 Cluj-Napoca, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Agarwal, P., Agarwal, R.P., and Ruzhansky, M. 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