{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T00:55:56Z","timestamp":1760057756838,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2025,2,27]],"date-time":"2025-02-27T00:00:00Z","timestamp":1740614400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This study of Hankel and Hermitian Toeplitz determinants is one of the major areas of interest in Geometric function theory and has wide applications in the areas of signal processing and Applied Mathematics. In our present investigations, we define a new subclass of normalized analytic functions H(\u03bb)(\u03bb\u22650), defined using a subordination relation with the sine function K(z)=1+sinz. For the class H(\u03bb), coefficient estimates, upper and lower bounds for the Hermitian Toeplitz determinants of second and third order are found. In addition, estimates are provided for the second and third-order Hankel determinants for the class H(\u03bb).<\/jats:p>","DOI":"10.3390\/sym17030362","type":"journal-article","created":{"date-parts":[[2025,2,27]],"date-time":"2025-02-27T08:04:44Z","timestamp":1740643484000},"page":"362","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Bounds for Hermitian Toeplitz and Hankel Determinants for a Certain Subclass of Analytic Functions Related to the Sine Function"],"prefix":"10.3390","volume":"17","author":[{"given":"Thatamsetty","family":"Thulasiram","sequence":"first","affiliation":[{"name":"Department of Mathematics, A.M. Jain College, Chennai 600114, India"}]},{"given":"Sekar","family":"Kalaiselvan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Guru Nanak College, Chennai 600042, India"}]},{"given":"Daniel","family":"Breaz","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Alba Iulia, 510009 Alba Iulia, Romania"}]},{"given":"Kuppuswamy","family":"Suchithra","sequence":"additional","affiliation":[{"name":"Department of Mathematics, A.M. Jain College, Chennai 600114, India"}]},{"given":"Thirumalai Vinjimur","family":"Sudharsan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, SIVET College, Chennai 600073, India"}]}],"member":"1968","published-online":{"date-parts":[[2025,2,27]]},"reference":[{"key":"ref_1","unstructured":"Ma, W., and Minda, D. (1992). A unified treatment of some special classes of univalent functions. 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