{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T00:26:58Z","timestamp":1760228818892,"version":"build-2065373602"},"reference-count":19,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2022,5,24]],"date-time":"2022-05-24T00:00:00Z","timestamp":1653350400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"The Deanship of Scientific Research (DSR) at King Abdulaziz University (KAU)","award":["KEP-PhD:49-130-1443"],"award-info":[{"award-number":["KEP-PhD:49-130-1443"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This paper studies some inclusion properties of some new subclasses of analytic functions in the open symmetric unit disc U that are associated with the Pascal operator. Furthermore, the integral-preserving properties in a sector for these subclasses are also investigated.<\/jats:p>","DOI":"10.3390\/sym14061079","type":"journal-article","created":{"date-parts":[[2022,5,25]],"date-time":"2022-05-25T05:12:27Z","timestamp":1653455547000},"page":"1079","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Some Inclusion Relations of Certain Subclasses of Strongly Starlike, Convex and Close-to-Convex Functions Associated with a Pascal Operator"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0694-4358","authenticated-orcid":false,"given":"Abdel Moneim Y.","family":"Lashin","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohamed K.","family":"Aouf","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of science, Mansoura University, Mansoura 35516, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7498-2228","authenticated-orcid":false,"given":"Abeer O.","family":"Badghaish","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1708-2228","authenticated-orcid":false,"given":"Amani Z.","family":"Bajamal","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,5,24]]},"reference":[{"key":"ref_1","first-page":"18","article-title":"Alpha-convex integral operators and strongly starlike functions, Studia","volume":"34","author":"Mocanu","year":"1989","journal-title":"Univ.-Babes-Bolyai. Math."},{"key":"ref_2","first-page":"234","article-title":"On the order of strongly starlikeness of strongly convex functions","volume":"69","author":"Nunokawa","year":"1993","journal-title":"Proc. Jpn. Acad. Ser. Math."},{"key":"ref_3","first-page":"755","article-title":"Certain classes of starlike functions","volume":"76","author":"Robertson","year":"1954","journal-title":"Mich. Math. J."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1215\/S0012-7094-64-03114-X","article-title":"Some radius of convexity problems","volume":"31","author":"Libera","year":"1964","journal-title":"Duke Math. 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Soc."},{"key":"ref_19","first-page":"273","article-title":"The Noor integral operator and multivalent functions","volume":"44","author":"Lashin","year":"2007","journal-title":"Proc. Pak. Acad. Sci."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/14\/6\/1079\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T23:17:38Z","timestamp":1760138258000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/14\/6\/1079"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,5,24]]},"references-count":19,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2022,6]]}},"alternative-id":["sym14061079"],"URL":"https:\/\/doi.org\/10.3390\/sym14061079","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2022,5,24]]}}}