{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T23:22:55Z","timestamp":1778628175621,"version":"3.51.4"},"reference-count":24,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2018,10,15]],"date-time":"2018-10-15T00:00:00Z","timestamp":1539561600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Huo Tang","award":["11561001 and 11271045"],"award-info":[{"award-number":["11561001 and 11271045"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Let     S  l  *     denote the class of analytic functions f in the open unit disk     D = { z : | z | &lt; 1 }     normalized by     f  ( 0 )  =  f \u2032   ( 0 )  \u2212 1 = 0    , which is subordinate to exponential function,       z  f \u2032   ( z )    f ( z )   \u227a  e z   ( z \u2208 D )  .     In this paper, we aim to investigate the third-order Hankel determinant      H 3   ( 1 )      for this function class     S  l  *     associated with exponential function and obtain the upper bound of the determinant      H 3   ( 1 )     . Meanwhile, we give two examples to illustrate the results obtained.<\/jats:p>","DOI":"10.3390\/sym10100501","type":"journal-article","created":{"date-parts":[[2018,10,16]],"date-time":"2018-10-16T02:52:53Z","timestamp":1539658373000},"page":"501","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["Third-Order Hankel Determinant for Certain Class of Analytic Functions Related with Exponential Function"],"prefix":"10.3390","volume":"10","author":[{"given":"Hai-Yan","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Chifeng University, Chifeng 024000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huo","family":"Tang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Chifeng University, Chifeng 024000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiao-Meng","family":"Niu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Chifeng University, Chifeng 024000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,10,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Srivastava, H.M., and Owa, S. 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