{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T10:10:41Z","timestamp":1777371041416,"version":"3.51.4"},"reference-count":22,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,6,27]],"date-time":"2023-06-27T00:00:00Z","timestamp":1687824000000},"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>The study presented in this paper follows the line of research created by the fact that by employing the monomiality principle, new outcomes are produced. This article deals with the inducement of \u0394h tangent-based Appell polynomials and derivation of certain of its characterizations such as explicit form, determinant form, monomiality principle, etc. These polynomials are designed to exhibit certain symmetries themselves or to capture and describe symmetrical patterns in mathematical structures. Further, certain members of \u0394h Appell polynomials such as \u0394h Bernoulli, Euler, and Genocchi polynomials are taken, and their corresponding results are obtained.<\/jats:p>","DOI":"10.3390\/sym15071315","type":"journal-article","created":{"date-parts":[[2023,6,27]],"date-time":"2023-06-27T02:11:22Z","timestamp":1687831882000},"page":"1315","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Several Characterizations of \u0394h-Doped Special Polynomials Associated with Appell Sequences"],"prefix":"10.3390","volume":"15","author":[{"given":"Rabab","family":"Alyusof","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6484-469X","authenticated-orcid":false,"given":"Shahid Ahmmad","family":"Wani","sequence":"additional","affiliation":[{"name":"Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International University, Pune 412115, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,6,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"447","DOI":"10.12988\/astp.2013.13042","article-title":"A note on the tangent numbers and polynomials","volume":"7","author":"Ryoo","year":"2013","journal-title":"Adv. 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