{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,14]],"date-time":"2026-01-14T20:24:11Z","timestamp":1768422251053,"version":"3.49.0"},"reference-count":12,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,9,6]],"date-time":"2012-09-06T00:00:00Z","timestamp":1346889600000},"content-version":"vor","delay-in-days":249,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>Riordan arrays are useful for solving the combinatorial sums by the help of generating functions. Many theorems can be easily proved by Riordan arrays. In this paper we consider the Pascal matrix and define a new generalization of Fibonacci polynomials called (<jats:italic>p<\/jats:italic>, <jats:italic>q<\/jats:italic>)\u2010Fibonacci polynomials. We obtain combinatorial identities and by using Riordan method we get factorizations of Pascal matrix involving (<jats:italic>p<\/jats:italic>, <jats:italic>q<\/jats:italic>)\u2010Fibonacci polynomials.<\/jats:p>","DOI":"10.1155\/2012\/264842","type":"journal-article","created":{"date-parts":[[2012,9,6]],"date-time":"2012-09-06T21:27:08Z","timestamp":1346966828000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":37,"title":["Some Properties of the (<i>p<\/i>, <i>q<\/i>)\u2010Fibonacci and (<i>p<\/i>, <i>q<\/i>)\u2010Lucas Polynomials"],"prefix":"10.1155","volume":"2012","author":[{"given":"GwangYeon","family":"Lee","sequence":"first","affiliation":[]},{"given":"Mustafa","family":"Asci","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,9,6]]},"reference":[{"key":"e_1_2_5_1_2","doi-asserted-by":"publisher","DOI":"10.1002\/9781118033067"},{"key":"e_1_2_5_2_2","first-page":"68","article-title":"Extension of a synthesis for a class of polynomial sequences","volume":"34","author":"Horadam A. 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