{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:32:27Z","timestamp":1760059947539,"version":"build-2065373602"},"reference-count":20,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2025,7,22]],"date-time":"2025-07-22T00:00:00Z","timestamp":1753142400000},"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 concept of coefficient estimates on univalent functions is one of the interesting aspects explored recently by many researchers. Motivated by this direction, in this present work, we obtain the upper bounds of initial inverse coefficients and logarithmic coefficients and the upper bounds of differences between these successive coefficients related to concave univalent functions. Further, we also calculate the upper bounds of third-order Hankel, Toeplitz, and Vandermonde determinants in terms of specified coefficients connected to concave univalent functions.<\/jats:p>","DOI":"10.3390\/axioms14080553","type":"journal-article","created":{"date-parts":[[2025,7,22]],"date-time":"2025-07-22T15:00:42Z","timestamp":1753196442000},"page":"553","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Inverse and Logarithmic Coefficient Bounds of Concave Univalent Functions"],"prefix":"10.3390","volume":"14","author":[{"given":"Kuppusami","family":"Sakthivel","sequence":"first","affiliation":[{"name":"Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamilnadu, India"}]},{"given":"Nak Eun","family":"Cho","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Pukyong National University, Busan 48513, Republic of Korea"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7294-5922","authenticated-orcid":false,"given":"Srikandan","family":"Sivasubramanian","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamilnadu, India"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,22]]},"reference":[{"key":"ref_1","unstructured":"Duren, P.L. 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