The paper deals with three-term recurrence relations for Boubaker and related polynomials, as well as some properties including zero. The Boubaker Polynomials Expansion Scheme for. Solving Applied-physics Nonlinear high-order Differential Equations. 1. Ugur Yücel and. 2. Karem Boubaker. Received August 14, Abstract—Some new properties of the Boubaker polynomials expansion scheme are presented in this paper. It is shown in particular.
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After several tests and trials, we set the new proposed polynomials, which are the modified Boubaker polynomials defined mainly by Eq.
Subpage for the collection of sources on Boubaker polynomials: Retrieved from ” https: The graphics of first modified Boubaker polynomials are presented in Fig. Since the quoted text refers polhnomials Boubaker et al, it is referring to the second reference, oplynomials the first. Karem Boubaker Enhancement of pyrolysis spray disposal performance using thermal time response to precursor uniform deposition.
We present here to the worldwide scientific community, the modified Boubaker bkubaker that are closer to mathematical analysis as long as they can be easily subjected to arithmetical and integral analysis. Polynomial interpolation of cryptographic functions related to diffie hellman and discrete logarithm problem. The Modified Boubaker Polynomials Properties The Modified Boubaker Polynomials Characteristic Differential Equation Oppositely to the early defined Boubaker polynomials, the modified Boubaker polynomials are solution to a second order characteristic equation:.
The title of the paper is present on Research Gate, with more details, but the actual paper hosted there is the Applied Science paper, not the original one.
Thus, as functional classes, they can be ranged according to the definition expression and its application. Nevertheless they seemed not to be solution to any regular differential equation of the kind:. Once defined, registered and published, the Boubaker polynomials, as practical functional classes, were not considered and dealt with as an abstract mathematical object.
The Modified Boubaker Polynomials Definition The Boubaker polynomials were tested and submitted to several studies from to Application of a block modified chebyshev algorithm to the iterative solution of symmetric linear systems. Les Polynomes De Boubaker.
This is the original abstract from the publisher: Implications of this research may be covered in analysis to be added to our subpage: At this stage, several expert colleagues advised us to propose a new form of the Boubaker polynomials, which fits better Eq. Classical polynomials have been defined by several obubaker according to their applications. Now we are working, with many experts from the mathematical scientific community, on other possible and exploitable Bender and Dunne, ; Calvetti and Reichel, arithmetic proprieties of this class.
There are, instead, references:.
Boubaker Polynomials – Wikiversity
The importance of this heat equation in applied mathematics is uncontroversial, as is illustrated in the next section. However, where is the first paper? Thanks to relations given by Eq. Research projects Wiki Studies.
This was simply not made clear. We introduced in this study a new polynomials class, the modified Boubaker polynomials, derived from an already established polynomial function. The sentence quoted above is in the cited paper by Boubaker. The paper is also cited in this “in press” publication: Learn more about original research at Wikiversity. This resource is about the polynomials and applications.