Decompositions of the Cauchy and Ferrers-Jackson polynomials

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dc.contributor.authorIrmak, Nurettin
dc.contributor.authorKilic, Emrah
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2016
dc.departmentNiğde ÖHÜ
dc.description.abstractRecently, Witula and Slota have given decompositions of the Cauchy and Ferrers-Jackson polynomials [Cauchy, Ferrers-Jackson and Chebyshev polynomials and identities for the powers of elements of some conjugate recurrence sequences, Central Europan J. Math., 2006]. Our main purpose is to derive a different decomposition of the Cauchy and Ferrers-Jackson polynomials. Our approach is to use the Waring formula and the Saalschutz identity to prove the claimed results. Also, we obtain generalizations of the results of Carlitz, Hunter and Koshy as corollaries of our results about sums and differences of powers of the Fibonacci and Lucas numbers.
dc.identifier.endpage170
dc.identifier.issn1331-0623
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85006307184
dc.identifier.scopusqualityQ3
dc.identifier.startpage163
dc.identifier.urihttps://hdl.handle.net/11480/3762
dc.identifier.volume21
dc.identifier.wosWOS:000389120400002
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherUNIV OSIJEK, DEPT MATHEMATICS
dc.relation.ispartofMathematical Communications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCauchy polynomial
dc.subjectFerrers-Jackson polynomial
dc.subjectFibonacci numbers
dc.subjectLucas numbers
dc.titleDecompositions of the Cauchy and Ferrers-Jackson polynomials
dc.typeArticle

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