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Some alternating sums of Lucas numbers

100%

Čerin Z.

Open Mathematics

2005

tom 3

nr 1

1-13

We consider alternating sums of squares of odd and even terms of the Lucas sequence and alternating sums of their products. These alternating sums have nice representations as products of appropriate Fibonacci and Lucas numbers.

Cauchy, Ferrers-Jackson and Chebyshev polynomials and identities for the powers of elements of some conjugate recurrence sequences

84%

Wituła R., Słota D.

Open Mathematics

2006

tom 4

nr 3

531-546

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.

Ograniczanie wyników

2 Open Mathematics

1 Słota D.

1 Wituła R.

1 Čerin Z.

1 2006

1 2005

Wyniki wyszukiwania

Some alternating sums of Lucas numbers

Cauchy, Ferrers-Jackson and Chebyshev polynomials and identities for the powers of elements of some conjugate recurrence sequences