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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There is, as noted, no reference in the article, and the article is not footnoted. Karem Boubaker Several times, last time inWikipedia chose not to host an article on the subject of Boubakr polynomials, see w: Subpage for the collection of sources on Boubaker polynomials: We present here to the worldwide scientific community, the modified Boubaker polynomials that are closer to mathematical analysis as long as they can be easily subjected to arithmetical and integral analysis.

Modified Boubaker Polynomials are introduced in order to allow prospecting useful arithmetical and algebraic properties with regard to some classical polynomials.

Research projects Wiki Studies. Since the quoted text refers to Boubaker et al, it is referring to the second reference, not the first.

We introduced in this study a new polynomials class, the modified Boubaker polynomials, derived from polyjomials already established polynomial function. The publication information given there is. The second source first page can be seen at [3]. Enhancement of pyrolysis spray disposal performance using thermal time response to precursor uniform deposition.


The main advantage of this class is to have a characteristic linear differential equation and a developable explicit form. 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. Application of polynomial preconditioners to conservation laws application of polynomial preconditioners.

The polymomials is also cited in this “in press” publication: This is a direct quote from: Classical polynomials have been defined by several methods according to their applications. The sentence quoted above is in the cited paper by Boubaker.

Boubaker Polynomials

Thanks to relations given by Eq. Math, Vol 3 Issue 2, — [4]this way:. Implications of this research may be covered in analysis to be added to our subpage: The early works on polynomials can be attributed to Al-Khawarizmi with his attempt to solve six canonical equations, followed by Omar Al-Khayyam who tried to solves cubics geometrically by intersecting conics Kiltz and Winterhof, Another definition of Boubaker polynomials is:.

Boubaker polynomials have generated many integer sequences in the w: This is what is shown as to the original:. Polynomial interpolation of cryptographic functions related to diffie hellman and discrete logarithm problem.

Views Read Edit View history. However, where is the first paper? Boubaker polynomials are also defined in general mode through the recurrence relation:.

Boubaker Polynomials – Wikiversity

Students who pay close attention to detail often find errors in peer-reviewed publications, but such errors may also exist in interpretation. The second reference was accepted inand since date may have been considered important, the acceptance date was given, or even possibly the submission date. Thus, as functional classes, they can be ranged according to the definition expression and its application. After several tests and trials, we set the new proposed polynomials, which are the modified Boubaker polynomials defined mainly by Eq.


Les Polynomes De Boubaker. Once defined, registered and published, the Boubaker polynomials, as practical boubaaker classes, were not considered and dealt with as an abstract mathematical object. How to cite this article: Retrieved from ” https: 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.

This was simply not made clear. 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 boubaekr order characteristic equation:.

This comment was appended here: In fact, in physical calculation process, the prior purpose was bokbaker find numerical approximated solutions. polynomialw

In this study, we attempt to extend the already defined the Boubaker polynomials that merged from a solution to heat equation.