{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,25]],"date-time":"2026-02-25T21:21:11Z","timestamp":1772054471394,"version":"3.50.1"},"reference-count":25,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2024,11,29]],"date-time":"2024-11-29T00:00:00Z","timestamp":1732838400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"International science and technology cooperation project of Henan Province","award":["242102520002"],"award-info":[{"award-number":["242102520002"]}]},{"name":"International science and technology cooperation project of Henan Province","award":["12101287"],"award-info":[{"award-number":["12101287"]}]},{"name":"International science and technology cooperation project of Henan Province","award":["12271234"],"award-info":[{"award-number":["12271234"]}]},{"name":"International science and technology cooperation project of Henan Province","award":["2020-PYJJ-011"],"award-info":[{"award-number":["2020-PYJJ-011"]}]},{"name":"National Natural Science Foundation of China","award":["242102520002"],"award-info":[{"award-number":["242102520002"]}]},{"name":"National Natural Science Foundation of China","award":["12101287"],"award-info":[{"award-number":["12101287"]}]},{"name":"National Natural Science Foundation of China","award":["12271234"],"award-info":[{"award-number":["12271234"]}]},{"name":"National Natural Science Foundation of China","award":["2020-PYJJ-011"],"award-info":[{"award-number":["2020-PYJJ-011"]}]},{"name":"National Project Cultivation Foundation of Luoyang Normal University","award":["242102520002"],"award-info":[{"award-number":["242102520002"]}]},{"name":"National Project Cultivation Foundation of Luoyang Normal University","award":["12101287"],"award-info":[{"award-number":["12101287"]}]},{"name":"National Project Cultivation Foundation of Luoyang Normal University","award":["12271234"],"award-info":[{"award-number":["12271234"]}]},{"name":"National Project Cultivation Foundation of Luoyang Normal University","award":["2020-PYJJ-011"],"award-info":[{"award-number":["2020-PYJJ-011"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This article investigates the applications of the q-Carlson\u2013Shaffer operator on subclasses of q-uniformly starlike functions, introducing the class STq(m,c,d,\u03b2). The study establishes a necessary condition for membership in this class and examines its behavior within conic domains. The article delves into properties such as coefficient bounds, the Fekete\u2013Szeg\u00f6 inequality, and criteria defined via the Hadamard product, providing both necessary and sufficient conditions for these properties.<\/jats:p>","DOI":"10.3390\/axioms13120842","type":"journal-article","created":{"date-parts":[[2024,12,4]],"date-time":"2024-12-04T10:07:10Z","timestamp":1733306830000},"page":"842","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Subclasses of q-Uniformly Starlike Functions Obtained via the q-Carlson\u2013Shaffer Operator"],"prefix":"10.3390","volume":"13","author":[{"given":"Qiuxia","family":"Hu","sequence":"first","affiliation":[{"name":"Department of Mathematics, Luoyang Normal University, Luoyang 471934, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3643-0841","authenticated-orcid":false,"given":"Rizwan Salim","family":"Badar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Allama Iqbal Open University, Islamabad 44000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2239-6416","authenticated-orcid":false,"given":"Muhammad Ghaffar","family":"Khan","sequence":"additional","affiliation":[{"name":"Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat 26000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,11,29]]},"reference":[{"key":"ref_1","first-page":"193","article-title":"On q-definite integrals","volume":"41","author":"Jackson","year":"1910","journal-title":"Quat. 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