{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:13:12Z","timestamp":1760148792323,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2023,6,7]],"date-time":"2023-06-07T00:00:00Z","timestamp":1686096000000},"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>It is very well-known that the special functions and integral operators play a vital role in the research of applied and mathematical sciences. In this paper, our aim is to present sufficient conditions for the families of integral operators containing the normalized forms of the Miller\u2013Ross functions such that they can be univalent in the open unit disk. Moreover, we find the convexity order of these operators. In proof of results, we use some differential inequalities related with Miller\u2013Ross functions and well-known lemmas. The various results, which are established in this paper, are presumably new, and their importance is illustrated by several interesting consequences and examples.<\/jats:p>","DOI":"10.3390\/axioms12060563","type":"journal-article","created":{"date-parts":[[2023,6,8]],"date-time":"2023-06-08T02:02:28Z","timestamp":1686189748000},"page":"563","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Geometric Properties of Generalized Integral Operators Related to The Miller\u2013Ross Function"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1023-4500","authenticated-orcid":false,"given":"Sercan","family":"Kaz\u0131mo\u011flu","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Letters, Kafkas University, Campus, 36100 Kars, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9570-8583","authenticated-orcid":false,"given":"Erhan","family":"Deniz","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Letters, Kafkas University, Campus, 36100 Kars, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0269-0688","authenticated-orcid":false,"given":"Luminita-Ioana","family":"Cotirla","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,6,7]]},"reference":[{"key":"ref_1","first-page":"7","article-title":"Certain sufficient conditions for univalence","volume":"15","author":"Seenivasagan","year":"2002","journal-title":"General Math."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1016\/j.aml.2009.10.013","article-title":"Univalence of integral operators involving Bessel functions","volume":"23","author":"Baricz","year":"2002","journal-title":"Appl. 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