{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,31]],"date-time":"2025-12-31T18:25:46Z","timestamp":1767205546003,"version":"build-2238731810"},"reference-count":25,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2020,4,13]],"date-time":"2020-04-13T00:00:00Z","timestamp":1586736000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deanship of Scientific Research at Majmaah University","award":["No-RGP-2019-25"],"award-info":[{"award-number":["No-RGP-2019-25"]}]}],"content-domain":{"domain":["www.mdpi.com"],"crossmark-restriction":true},"short-container-title":["Symmetry"],"abstract":"<jats:p>Recently, the parametric kind of some well known polynomials have been presented by many authors. In a sequel of such type of works, in this paper, we introduce the two parametric kinds of degenerate poly-Bernoulli and poly-Genocchi polynomials. Some analytical properties of these parametric polynomials are also derived in a systematic manner. We will be able to find some identities of symmetry for those polynomials and numbers.<\/jats:p>","DOI":"10.3390\/sym12040614","type":"journal-article","created":{"date-parts":[[2020,4,14]],"date-time":"2020-04-14T03:10:01Z","timestamp":1586833801000},"page":"614","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["A Note on Parametric Kinds of the Degenerate Poly-Bernoulli and Poly-Genocchi Polynomials"],"prefix":"10.3390","volume":"12","author":[{"given":"Taekyun","family":"Kim","sequence":"first","affiliation":[{"name":"Department of Mathematics, Kwangwoon University, Seoul 139-701, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4681-9885","authenticated-orcid":false,"given":"Waseem","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O Box 1664, Al Khobar 31952, Kingdom of Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1035-311X","authenticated-orcid":false,"given":"Sunil","family":"Sharma","sequence":"additional","affiliation":[{"name":"College of Computer and Information Sciences, Majmaah University, Majmaah 11952, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohd","family":"Ghayasuddin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Integral University Campus, Shahjahanpur 242001, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,4,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"767","DOI":"10.1214\/aop\/1176992170","article-title":"Noncentral limit theorems and Appell polynomials","volume":"15","author":"Avram","year":"1987","journal-title":"Ann. Probab."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Kim, D.S., Kim, T., and Lee, H. (2019). A note on degenerate Euler and Bernoulli polynomials of complex variable. Symmetry, 11.","DOI":"10.3390\/sym11091168"},{"key":"ref_3","first-page":"51","article-title":"Degenerate Stirling Bernoulli and Eulerian numbers","volume":"15","author":"Carlitz","year":"1979","journal-title":"Util. Math."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1007\/BF01900520","article-title":"A degenerate Staud-Clausen theorem","volume":"7","author":"Carlitz","year":"1956","journal-title":"Arch. Math."},{"key":"ref_5","first-page":"651","article-title":"Degenerate Bernoulli numbers and polynomials associated with degenerate Hermite polynomials. Commun","volume":"33","author":"Haroon","year":"2018","journal-title":"Korean Math. 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