Decompositions of the Cauchy and Ferrers-Jackson polynomials
Küçük Resim Yok
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
UNIV OSIJEK, DEPT MATHEMATICS
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Recently, 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.
Açıklama
Anahtar Kelimeler
Cauchy polynomial, Ferrers-Jackson polynomial, Fibonacci numbers, Lucas numbers
Kaynak
Mathematical Communications
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
21
Sayı
2
