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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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The most valuable result was an approach to a particular second order differential equation that links the Boubaker Polynomials to Chebyshev first kind polynomials through the relation:. The paper is also cited in this “in press” publication: Enhancement of pyrolysis spray disposal performance using thermal time response to precursor uniform deposition.

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.

In this study, we attempt to extend the already defined the Boubaker polynomials that merged from a solution to heat equation. Definition and Historic The Boubaker polynomials were established for the first by Boubaker et al. However, where is the first paper? It shows a received date of March 14,but was not published until June, This is the original abstract from the publisher: However, the history of Wikipedia treatment of this topic and users involved with this topic may be studied and discussed on our subpage: There are, instead, references:.


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The polynomiaks of the paper is present on Polynomiaos Gate, with more details, but the actual paper hosted there is the Applied Science paper, not the original one. We introduced in this study a new boubaier class, the modified Boubaker polynomials, derived from an already established polynomial function. Oolynomials in Applied Sciences Research Volume 2 6: The second source first page can be seen at [3].

Math, Vol 3 Issue 2, — [4]this way:. Les Polynomes De Boubaker. The Modified Boubaker Polynomials Definition The Boubaker polynomials were tested and submitted to several studies from to Views Read Edit View history. Abstract In this study an attempt presented to establish a characteristic linear differential equation and an explicit form to the modified Boubaker polynomials The original Boubaker polynomials were established earlier as an effective tool for solving heat bi-varied equation polynomialss a particular case of one-dimensional heat transfer model.

In fact, in physical calculation process, the prior purpose was to find numerical approximated solutions. Thanks to relations given by Eq. Once defined, registered and published, the Boubaker polynomials, as practical functional classes, were not considered and dealt with as an abstract mathematical object. In this context, we can cite among others: Students who pay close attention to detail often find errors in peer-reviewed publications, but such errors may also exist in interpretation.

Boubaker Polynomials – Wikiversity

polynomizls Classical polynomials have been defined by several methods according to their applications. This resource is about the polynomials and applications. Thus, as functional classes, they can be ranged according to the definition expression and its application. Modified Boubaker Polynomials are introduced in order to allow prospecting useful arithmetical and algebraic properties with regard to some classical polynomials.

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Polynomial interpolation of cryptographic functions related to diffie hellman and discrete logarithm problem. Implications of this research may be covered in analysis to be added to our subpage: Several times, last time inWikipedia chose not to host an article on the subject of Boubakr polynomials, see w: Karem Boubaker This comment was appended here: Subpage for the collection of sources on Boubaker polynomials: 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 sentence quoted above is in bkubaker cited paper by Boubaker.

Boubaker Polynomials

Boubaker polynomials are the components of a polynomial sequence [1] [2]:. On Modified Boubaker Polynomials: The main advantage of this class is to have a characteristic linear differential equation and a developable explicit form. Polynomials and operator orderings. Retrieved from ” https: How to cite this article: