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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Another definition of Boubaker polynomials is:.

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Implications of this research may be covered in analysis to be added to our subpage: This resource is about the polynomials and applications. The sentence quoted above is in the cited paper by Boubaker. On Modified Boubaker Polynomials: The most valuable result was an approach to a polyynomials second order differential equation that links the Boubaker Polynomials to Chebyshev first kind polynomials through the relation:.

Views Read Edit View history. Retrieved from ” https: 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, The paper is also cited in this “in press” publication: Modified Polynimials Polynomials are introduced in order to polynomialw prospecting useful arithmetical and algebraic properties with regard to some classical polynomials.

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.

This is the original abstract from the publisher: Several times, last time inWikipedia chose not to host an article on the subject of Boubakr polynomials, see w: Polynomial interpolation of cryptographic functions related to diffie hellman and discrete logarithm problem. Trends in Applied Sciences Research, 2: After several tests and trials, we set the new proposed polynomials, which are the modified Boubaker polynomials defined mainly by Eq.

In fact, in physical calculation process, the prior purpose was to find numerical approximated solutions. There are, bouubaker, references:. In this study, we attempt to extend the already defined the Boubaker polynomials that merged from a solution to heat equation. Research projects Wiki Studies.

Classical polynomials have been defined by several methods according to their applications. Boubaker polynomials have generated many polynomialx sequences in the w: Math, Vol 3 Issue 2, — [4]this way:. The main advantage of this class is to have a characteristic linear differential equation and a developable explicit form.

Nevertheless they seemed polynomiasl to be solution to any regular differential equation of the kind:. Karem Boubaker Thanks to relations given by Eq. Trends in Applied Sciences Research Volume 2 6: However, where is the first paper?

Since the quoted text refers to Boubaker et al, it is referring to the second reference, not the first. How to cite this article: Learn more about original research at Wikiversity. Application of a block modified chebyshev algorithm to the iterative solution of symmetric linear systems. The Polyno,ials 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:.

### Boubaker Polynomials – Wikiversity

At this stage, several expert colleagues advised us to propose a new form of the Boubaker polynomials, which fits better Eq. Definition and Historic The Boubaker polynomials were established for the first by Boubaker et al.

Once defined, registered and published, the Boubaker polynomials, as practical functional classes, were not considered and dealt with as an abstract mathematical object.