{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:12:14Z","timestamp":1760145134641,"version":"build-2065373602"},"reference-count":51,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T00:00:00Z","timestamp":1718928000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"University of Oradea"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The interest in special complex functions and their wide-ranging implementations in geometric function theory (GFT) has developed tremendously. Recently, subordination theory has been instrumentally employed for special functions to explore their geometric properties. In this effort, by using a convolutional structure, we combine the geometric series, logarithm, and Hurwitz\u2013Lerch zeta functions to formulate a new special function, namely, the logarithm-Hurwitz\u2013Lerch zeta function (LHL-Z function). This investigation then contributes to the study of the LHL-Z function in terms of the geometric theory of holomorphic functions, based on the differential subordination methodology, to discuss and determine the univalence and convexity conditions of the LHL-Z function. Moreover, there are other subordination and superordination connections that may be visually represented using geometric methods. Functions often exhibit symmetry when subjected to conformal mappings. The investigation of the symmetries of these mappings may provide a clearer understanding of how subordination and superordination with the Hurwitz\u2013Lerch zeta function behave under different transformations.<\/jats:p>","DOI":"10.3390\/sym16070784","type":"journal-article","created":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T11:10:28Z","timestamp":1718968228000},"page":"784","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Geometric Features of the Hurwitz\u2013Lerch Zeta Type Function Based on Differential Subordination Method"],"prefix":"10.3390","volume":"16","author":[{"given":"Faten F.","family":"Abdulnabi","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Science, University of Baghdad, Baghdad 10071, Iraq"},{"name":"Ministry of Education, Al-Rusafa 2, Baghdad 10082, Iraq"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hiba","family":"F. Al-Janaby","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, University of Baghdad, Baghdad 10071, Iraq"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8586-2539","authenticated-orcid":false,"given":"Firas","family":"Ghanim","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Sciences, University of Sharjah, Sharjah 27272, United Arab Emirates"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2855-7535","authenticated-orcid":false,"given":"Alina Alb","family":"Lupa\u0219","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,21]]},"reference":[{"key":"ref_1","unstructured":"Goodman, A.W. 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