{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T05:07:43Z","timestamp":1777352863390,"version":"3.51.4"},"reference-count":8,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11371291"],"award-info":[{"award-number":["11371291"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61202437"],"award-info":[{"award-number":["61202437"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["20136101110014"],"award-info":[{"award-number":["20136101110014"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11371291"],"award-info":[{"award-number":["11371291"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61202437"],"award-info":[{"award-number":["61202437"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["20136101110014"],"award-info":[{"award-number":["20136101110014"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Specialized Research Fund for the Doctoral Program","award":["11371291"],"award-info":[{"award-number":["11371291"]}]},{"name":"Specialized Research Fund for the Doctoral Program","award":["61202437"],"award-info":[{"award-number":["61202437"]}]},{"name":"Specialized Research Fund for the Doctoral Program","award":["20136101110014"],"award-info":[{"award-number":["20136101110014"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their<jats:italic>r<\/jats:italic>th derivatives. We get the formulas for the<jats:italic>r<\/jats:italic>th derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials. At last, we get several identities about the Fibonacci numbers and Lucas numbers.<\/jats:p>","DOI":"10.1155\/2014\/451953","type":"journal-article","created":{"date-parts":[[2014,3,13]],"date-time":"2014-03-13T21:02:12Z","timestamp":1394744532000},"page":"1-8","source":"Crossref","is-referenced-by-count":3,"title":["On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives"],"prefix":"10.1155","volume":"2014","author":[{"given":"Yang","family":"Li","sequence":"first","affiliation":[{"name":"Department of Mathematics, Northwest University, Xi\u2019an, Shaanxi 710127, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"2","volume":"2012, article 134","year":"2012","journal-title":"Journal of Inequalities and Applications"},{"key":"9","first-page":"573","volume":"24","year":"2000","journal-title":"Journal of Wuhan Transportation University"},{"issue":"2","key":"7","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1080\/00150517.2004.12428431","volume":"42","year":"2004","journal-title":"The Fibonacci Quarterly"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.03.007"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2006.10.022"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2006.11.019"},{"key":"1","first-page":"771","volume-title":"Orthogonal polynomials","year":"1965"},{"issue":"2","key":"8","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1080\/00150517.2007.12428233","volume":"45","year":"2007","journal-title":"The Fibonacci Quarterly"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/451953.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/451953.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/451953.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,2]],"date-time":"2025-05-02T01:56:55Z","timestamp":1746151015000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/451953\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":8,"alternative-id":["451953","451953"],"URL":"https:\/\/doi.org\/10.1155\/2014\/451953","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}