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Toplam kayıt 16, listelenen: 1-10
Farey-Pell Sequence, Approximation To Irrationals And Hurwitz's Inequality
(Int Center Scientific Research & Studies, 2016)
The purpose of this paper is to give the notion of Farey-Pell sequence. We investigate some identities of the Farey-Pell sequence. Finally, a generalization of Farey-Pell sequence and an approximation to irrationals via ...
On Fibonomial Sums Identities With Special Sign Functions: Analytically Q-Calculus Approach
(Walter De Gruyter Gmbh, 2018)
Recently Marques and Trojovsky [On some new identities for the Fibonomial coefficients, Math. Slovaca 64 (2014), 809-818] presented interesting two sum identities including the Fibonomial coefficients and Fibonacci numbers. ...
On some Properties of Tribonacci Quaternions
(Ovidius Univ Press, 2018)
In this paper, we give some properties of the Tribonacci and Tribonacci-Lucas quaternions and obtain some identities for them.
Quaternions: Quantum calculus approach with applications
(Academic Publication Council, 2019)
In this paper we introduce two types of quaternion sequences with components including quantum integers. We also introduce quantum quaternion polynomials. Moreover, we give some properties and identities for these quantum ...
Generalization of a statistical matrix and its factorization
(Taylor & Francis Inc, 2019)
We consider a special matrix with integer coefficients and obtain an LU factorization for its member by giving explicit closed-form formulae of the entries of L and U. Our result is applied to give the closed-form formula ...
Some New Quaternionic Quadratics with Zeros in Terms of Second Order Quaternion Recurrences
(Springer Basel Ag, 2019)
In this paper a comprehensive analysis of the Horadam quaternion zeros for some new types of bivariate quadratic quaternion polynomial equations is presented.
Partial sums of the Gaussian q-binomial coefficients, their reciprocals, square and squared reciprocals with applications
(Univ Miskolc Inst Math, 2019)
In this paper, we shall derive formulae for partial sums of the Gaussian q-binomial coefficients, their reciprocals, squares and squared reciprocals. To prove the claimed results, we use q-calculus. As applications of our ...
A curious matrix-sum identity and certain finite sums identities
(World Scientific Publ Co Pte Ltd, 2015)
In this paper, we consider two generalized binary sequences and then give a generalization of a matrix equality proposed as an advanced problem. Then, we derive new certain finite sums including the generalized binary ...
Split Fibonacci and Lucas Octonions
(Springer Basel Ag, 2015)
In this paper, split Fibonacci and Lucas octonions are proposed and their some properties and relations are obtained.
Generalized Binomial Convolution of the mth Powers of the Consecutive Integers with the General Fibonacci Sequence
(De Gruyter Open Ltd, 2016)
In this paper, we consider Gauthier's generalized convolution and then define its binomial analogue as well as alternating binomial analogue. We formulate these convolutions and give some applications of them.