{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,17]],"date-time":"2024-10-17T16:10:03Z","timestamp":1729181403983,"version":"3.27.0"},"reference-count":37,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,4,2]],"date-time":"2023-04-02T00:00:00Z","timestamp":1680393600000},"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":"Many properties of special polynomials, such as recurrence relations, sum formulas, and symmetric properties have been studied in the literature with the help of generating functions and their functional equations. In this paper, using the (p,q)\u2013Fibonacci polynomials,\u00a0(p,q)\u2013Lucas polynomials, and Changhee numbers, we define the\u00a0(p,q)\u2013Fibonacci\u2013Changhee polynomials and\u00a0(p,q)\u2013Lucas\u2013Changhee polynomials, respectively. We obtain some important identities and relations of these newly established polynomials by using their generating functions and functional equations. Then, we generalize the\u00a0(p,q)\u2013Fibonacci\u2013Changhee polynomials and the\u00a0(p,q)\u2013Lucas\u2013Changhee polynomials called generalized\u00a0(p,q)\u2013Fibonacci\u2013Lucas\u2013Changhee polynomials. We derive a determinantal representation for the generalized\u00a0(p,q)\u2013Fibonacci\u2013Lucas\u2013Changhee polynomials in terms of the special Hessenberg determinant. Finally, we give a new recurrent relation of the\u00a0(p,q)\u2013Fibonacci\u2013Lucas\u2013Changhee polynomials.<\/jats:p>","DOI":"10.3390\/sym15040851","type":"journal-article","created":{"date-parts":[[2023,4,3]],"date-time":"2023-04-03T07:32:59Z","timestamp":1680507179000},"page":"851","source":"Crossref","is-referenced-by-count":4,"title":["On (p,q)\u2013Fibonacci and (p,q)\u2013Lucas Polynomials Associated with Changhee Numbers and Their Properties"],"prefix":"10.3390","volume":"15","author":[{"given":"Chuanjun","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mathematics and Big Data, Guizhou Normal College, Guiyang 550018, China"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-4681-9885","authenticated-orcid":false,"given":"Waseem Ahmad","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-7958-4226","authenticated-orcid":false,"given":"Can","family":"K\u0131z\u0131late\u015f","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Zonguldak B\u00fclent Ecevit University, Zonguldak 67100, Turkey"}]}],"member":"1968","published-online":{"date-parts":[[2023,4,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Khan, W.A., and Alatawi, M.S. (2023). A note on modified degenerate Changhee-Genocchi polynomials of the second kind. Symmetry, 15.","DOI":"10.3390\/sym15010136"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Khan, W.A., Alatawi, M.S., Ryoo, C.S., and Duran, U. (2023). Novel properties of q-Sine-based and q-Cosine-based q-Fubini polynomials. Symmetry, 15.","DOI":"10.3390\/sym15020356"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Khan, W.A., Muhiuddin, G., Duran, U., and Al-Kadi, D. (2022). 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