{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,3]],"date-time":"2026-01-03T15:07:04Z","timestamp":1767452824753,"version":"build-2065373602"},"reference-count":43,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2024,9,2]],"date-time":"2024-09-02T00:00:00Z","timestamp":1725235200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"United Arab Emirates University, UAEU Program for Advanced Research","award":["UPAR12S127"],"award-info":[{"award-number":["UPAR12S127"]}]},{"name":"SURE+","award":["UPAR12S127"],"award-info":[{"award-number":["UPAR12S127"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In our current study, we apply differential subordination and quantum calculus to introduce and investigate a new class of analytic functions associated with the q-differential operator and the symmetric balloon-shaped domain. We obtain sharp results concerning the Maclaurin coefficients the second and third-order Hankel determinants, the Zalcman conjecture, and its generalized conjecture for this newly defined class of q-starlike functions with respect to symmetric points.<\/jats:p>","DOI":"10.3390\/sym16091134","type":"journal-article","created":{"date-parts":[[2024,9,2]],"date-time":"2024-09-02T06:51:17Z","timestamp":1725259877000},"page":"1134","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Sharp Results for a New Class of Analytic Functions Associated with the q-Differential Operator and the Symmetric Balloon-Shaped Domain"],"prefix":"10.3390","volume":"16","author":[{"given":"Adeel","family":"Ahmad","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra 21120, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2909-0970","authenticated-orcid":false,"given":"Jianhua","family":"Gong","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, United Arab Emirates"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Akhter","family":"Rasheed","sequence":"additional","affiliation":[{"name":"Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2275-034X","authenticated-orcid":false,"given":"Saqib","family":"Hussain","sequence":"additional","affiliation":[{"name":"Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Asad","family":"Ali","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra 21120, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zeinebou","family":"Cheikh","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, United Arab Emirates"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,9,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1307\/mmj\/1029002507","article-title":"Differential subordination and univalent functions","volume":"28","author":"Miller","year":"1981","journal-title":"Mich. 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