{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T04:08:37Z","timestamp":1771646917682,"version":"3.50.1"},"reference-count":46,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2022,8,18]],"date-time":"2022-08-18T00:00:00Z","timestamp":1660780800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Science, 43 Research and Innovation Fund (NSRF)"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we define and discuss properties of various classes of analytic univalent functions by using modified q-Sigmoid functions. We make use of an idea of Salagean to introduce the q-analogue of the Salagean differential operator. In addition, we derive families of analytic univalent functions associated with new q-Salagean and q-Ruscheweh differential operators. In addition, we obtain coefficient bounds for the functions in such new subclasses of analytic functions and establish certain growth and distortion theorems. By using the concept of the (q, \u03b4)-neighbourhood, we provide several inclusion symmetric relations for certain (q, \u03b4)-neighbourhoods of analytic univalent functions of negative coefficients. Various q-inequalities are also discussed in more details.<\/jats:p>","DOI":"10.3390\/sym14081725","type":"journal-article","created":{"date-parts":[[2022,8,19]],"date-time":"2022-08-19T02:48:23Z","timestamp":1660877303000},"page":"1725","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Results on Univalent Functions Defined by q-Analogues of Salagean and Ruscheweh Operators"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7100-1199","authenticated-orcid":false,"given":"Ebrahim","family":"Amini","sequence":"first","affiliation":[{"name":"Department of Mathematics, Payme Noor University, Tehran P.O. Box 19395-4697, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7741-5322","authenticated-orcid":false,"given":"Mojtaba","family":"Fardi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Mathematical Science, Shahrekord University, Shahrekord P.O. Box 115, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8955-5552","authenticated-orcid":false,"given":"Shrideh","family":"Al-Omari","sequence":"additional","affiliation":[{"name":"Department of Scientific Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11134, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7469-5402","authenticated-orcid":false,"given":"Kamsing","family":"Nonlaopon","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,8,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"619","DOI":"10.2478\/s12175-011-0032-3","article-title":"Generalized q-Baskakov operators","volume":"61","author":"Aral","year":"2011","journal-title":"Math. 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