Cauchy, Ferrers-Jackson and Chebyshev polynomials and identities for the powers of elements of some conjugate recurrence sequences
Roman Wituła ; Damian Słota
Open Mathematics, Tome 4 (2006), p. 531-546 / Harvested from The Polish Digital Mathematics Library
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In this paper some decompositions of Cauchy polynomials, Ferrers-Jackson polynomials and polynomials of the form x 2n + y 2n , n ∈ ℕ, are studied. These decompositions are used to generate the identities for powers of Fibonacci and Lucas numbers as well as for powers of the so called conjugate recurrence sequences. Also, some new identities for Chebyshev polynomials of the first kind are presented here.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:269281 
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     title = {Cauchy, Ferrers-Jackson and Chebyshev polynomials and identities for the powers of elements of some conjugate recurrence sequences},
     journal = {Open Mathematics},
     volume = {4},
     year = {2006},
     pages = {531-546},
     zbl = {1131.11016},
     language = {en},
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Roman Wituła; Damian Słota. Cauchy, Ferrers-Jackson and Chebyshev polynomials and identities for the powers of elements of some conjugate recurrence sequences. Open Mathematics, Tome 4 (2006) pp. 531-546. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0022-9/

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