{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T11:29:43Z","timestamp":1774870183336,"version":"3.50.1"},"reference-count":36,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2022,4,18]],"date-time":"2022-04-18T00:00:00Z","timestamp":1650240000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This paper focuses on the establishment of a new subfamily of analytic functions including Touchard polynomials. Then, we attempt to obtain geometric properties such as coefficient inequalities, distortion properties, extreme points, radii of starlikeness and convexity, partial sums, neighbourhood results and integral means\u2019 inequality for this class. The symmetry properties of the subfamily of functions established in the current paper may be examined as future research directions.<\/jats:p>","DOI":"10.3390\/sym14040838","type":"journal-article","created":{"date-parts":[[2022,4,20]],"date-time":"2022-04-20T00:22:43Z","timestamp":1650414163000},"page":"838","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["On a Certain Subclass of Analytic Functions Defined by Touchard Polynomials"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3669-350X","authenticated-orcid":false,"given":"Bolenini","family":"Venkateswarlu","sequence":"first","affiliation":[{"name":"Department of Mathematics, GSS, GITAM University, Doddaballapur 562163, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0034-444X","authenticated-orcid":false,"given":"Pinninti","family":"Thirupathi Reddy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Engineering, NNRESGI, Medichal Dist., Hyderabad 500088, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7950-8450","authenticated-orcid":false,"given":"\u015eahsene","family":"Alt\u0131nkaya","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Arts and Sciences, Beykent University, Istanbul 34500, Turkey"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1384-4099","authenticated-orcid":false,"given":"Nattakan","family":"Boonsatit","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Technology, Rajamangala University of Technology Suvarnabhumi, Nonthaburi 11000, Thailand"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0267-110X","authenticated-orcid":false,"given":"Porpattama","family":"Hammachukiattikul","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Phuket 83000, Thailand"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2109-3328","authenticated-orcid":false,"given":"Vaishnavy","family":"Sujatha","sequence":"additional","affiliation":[{"name":"Department of Mathematics, GSS, GITAM University, Doddaballapur 562163, India"}]}],"member":"1968","published-online":{"date-parts":[[2022,4,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/BF02392821","article-title":"A proof of the Bieberbach conjecture","volume":"154","year":"1985","journal-title":"Acta Math."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1155\/2021\/5587886","article-title":"Certain class of analytic functions connected with q-analog of the Bessel function","volume":"2021","author":"Alessa","year":"2021","journal-title":"J. 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