Guney, H. OzlemMurugusundaramoorthy, G.Vijaya, K.2024-04-242024-04-2420211012-94052190-7668https://doi.org/10.1007/s13370-020-00853-7https://hdl.handle.net/11468/14957In Ruscheweyh and Salinas (Math Z 263:607-617, 2009) and Ruscheweyh et al. (Isreal J Math 171:285-304, 2009) the researchers introduced universally convex,universally starlike and universally prestarlike functions in the slit domain C\[1, infinity). These papers extended the corresponding notions from the unit disc to other discs and half-planes containing the origin. In this paper, we consider universally prestarlike generalized functions of order alpha with alpha <= 1 and we obtain upper bounds of the second Hankel determinant vertical bar a(2)a(4) - a(3)(2)vertical bar for such functions related with exponential function.eninfo:eu-repo/semantics/closedAccessAnalytic FunctionsPrestarlike FunctionsUniversally Prestarlike FunctionsExponential FunctionSecond Hankel DeterminantArticle325-6685694WOS:0005804078000012-s2.0-8509292973310.1007/s13370-020-00853-7Q2N/A