The quaternions form a 4-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tetranacci and Tetranacci-Lucas quaternions. Furthermore, we present some properties of these quaternions and derive relationships between them. We present the generating functions, Binet...
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Research Article10.9734/arjom/2019/v15i130137
In this paper, we present linear summation formulas for generalized Hexanacci numbers and generalized Gaussian Hexanacci numbers. Also, as special cases, we give linear summation formulas of Hexanacci and Hexanacci-Lucas numbers; Gaussian Hexanacci and Gaussian Hexanacci-Lucas nu...
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Research Article10.9734/arjom/2019/v14i430136
In this problem, an examination of Casson Nanofluid boundary layer flow over linear slanted extending sheet by fusing the chemical reaction and heat generation impacts are under thought. Nanofluid demonstrate in this examination is developed on Buongiorno model for the thermal ef...
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Research Article10.9734/arjom/2019/v14i430135
In this work we define Magic Polygons P(n, k) and Degenerated Magic Polygons D(n, k) and we obtain their main properties, such as the magic sum and the value corresponding to the root vertex. The existence of magic polygons P(n, k) and degenerated magic polygons D(n, k) are discu...
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Research Article10.9734/arjom/2019/v14i430134
In this paper, some inequalities involving the extension of k-gamma function are presented. Consequently, some previous results are recovered as particular cases of the present results.
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Research Article10.9734/arjom/2019/v14i430133
The analysis of the dynamic buckling of a clamped finite imperfect viscously damped column lying on a quadratic-cubic elastic foundation using the methods of asymptotic and perturbation technique is presented. The proposed governing equation contains two small independent paramet...
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Research Article10.9734/arjom/2019/v14i430132
This thesis is about Construction of Polynomials in Galois fields Using Normal Bases in finite fields. In this piece of work, we discussed the following in the text; irreducible polynomials, primitive polynomials, field, Galois field or finite fields, and the order of a finite fi...
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Research Article10.9734/arjom/2019/v14i330131
The well known Pentanacci sequence is a fifth order recurrence sequence. In this paper, it will be dened an other generalized Pentanacci sequence and established some properties of this sequence using matrix methods.
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Research Article10.9734/arjom/2019/v14i330129
The present article was aimed at investigating the effects of variable viscosity on natural convection flow between vertical parallel plates in the presence of heat generation/absorption. The nonlinear differential equations governing the flow were solved using Homotopy perturbat...
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Research Article10.9734/arjom/2019/v14i330128
In this research paper, we were able to study countable sets. To achieve this, fundamental ideas and concepts from set theory and mathematical analysis were considered. Some important theorems on countable sets were reviewed and nally, the application of the theorems studied were...
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Research Article10.9734/arjom/2019/v14i330127
This paper presents the one-dimensional, positive temperature coefficient (PTC) thermistor equation, using the hyperbolic-tangent function as an approximation to the electrical conductivity of the device. The hyperbolic-tangent function describes the qualitative behaviour of the...
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Research Article10.9734/arjom/2019/v14i230125
An extended Tanh-function method with Riccati equation is presented for constructing multiple exact travelling wave solutions of some nonlinear evolution equations which are particular cases of a generalized equation. The results of solitary waves are general compact forms with n...
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Research Article10.9734/arjom/2019/v14i230124
Collatz conjecture (stated in 1937 by Collatz and also named Thwaites conjecture, or Syracuse, 3n+1 or oneness problem) can be described as follows: Take any positive whole number N. If N is even, divide it by 2. If it is odd, multiply it by 3 and add 1. Repeat this process to th...
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Research Article10.9734/arjom/2019/v14i230123