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Toplam kayıt 16, listelenen: 11-16
The Lehmer matrix with recursive factorial entries
(Academic Publication Council, 2015)
A generalized Lehmer matrix with recursive entries from Kilic et al. (2010b) is further generalized, introducing three additional parameters and taking recursive factorials instead of a term. Certain formulae are derived ...
The Fibonacci Octonions
(Springer Basel Ag, 2015)
In the present paper, we introduce the Fibonacci and Lucas octonions and give the generating function and Binet formulae for these octionions. In addition, we give some identities and properties of them.
Formulas for binomial sums including powers of Fibonacci and Lucas numbers
(Univ Politehnica Bucharest, Sci Bull, 2015)
Recently Prodinger [2] proved general expansion formulas for sums of powers of Fibonacci and Lucas numbers. In this paper, we will prove general expansion formulas for binomial sums of powers of Fibonacci and Lucas numbers.
The linear algebra of a Pascal-like matrix
(TAYLOR & FRANCIS LTD, 2020)
A Pascal-like matrix is constructed whose row entries are the terms of the modified Hermite polynomials of two variables. The multiplication of the two Pascal-like matrices and the power and inverse of the Pascal-like ...
New Filbert and Lilbert matrices with asymmetric entries
(WALTER DE GRUYTER GMBH, 2020)
In this paper, two new analogues of the Hilbert matrix with four-parameters have been introduced. Explicit formul ae are derived for the LU-decompositions and their inverses, and the inverse matrices of these analogue ...
Some Generalized Fibonomial Sums related with the Gaussian q-Binomial sums
(Soc Matematice Romania, 2012)
In this paper, we consider some generalized Fibonomial sums formulae and then prove them by using the Cauchy binomial theorem and q-Zeilberger algorithm in Mathematica session.