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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Polynomixls Modified Boubaker Polynomials Definition The Boubaker polynomials were tested and submitted to several studies from to Several times, last time inWikipedia chose not to host an article on the subject of Boubakr polynomials, see w: Modified Boubaker Polynomials are introduced in order to allow prospecting useful arithmetical and algebraic properties with regard to some classical polynomials.

The graphics of first modified Boubaker polynomials are presented in Fig. Definition and Historic The Boubaker polynomials were established for the first by Boubaker et al. Nevertheless they seemed not to be solution to any regular differential equation of the kind:.

Boubaker Polynomials

Classical polynomials have been defined by several methods according to their applications. Karem Boubaker In polynkmials context, we can cite among others: Implications of this research may be covered in analysis to be added to our subpage: The boubaker polynomials a new function class for solving bi varied second order differential equations.


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. It shows a received date of March 14,but was not published until June, Students who pay close attention to detail often find errors in peer-reviewed publications, but such errors may also exist in interpretation. Thanks to relations given by Eq.

At this stage, several expert colleagues advised us to propose a new form of the Boubaker polynomials, which fits better Eq. The sentence quoted above is in the cited paper by Boubaker. This resource is about the polynomials and applications.

Boubaker polynomials are also defined in general mode through the recurrence relation:.

This is the original abstract from the publisher: Once defined, registered and published, the Boubaker polynomials, as practical functional classes, were not considered and dealt with as an polhnomials mathematical object. Retrieved from ” https: However, where is the first paper? The importance of this heat equation in applied mathematics is uncontroversial, as is illustrated in the next section.

Trends in Applied Sciences Booubaker, 2: Enhancement of pyrolysis spray disposal performance using thermal time response to precursor uniform deposition. How to cite this article: This was simply not made clear.

Boubaker Polynomials – Wikiversity

The acceptance date is not given. Thus, as functional classes, they can be ranged according to the definition expression and its application. Views Read Edit View history. 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. The paper is also cited in this “in press” publication: There are, instead, boubaler.


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 in a particular case of one-dimensional heat transfer model.

Polynomial interpolation of cryptographic functions related to diffie hellman and discrete logarithm problem. Les Polynomes De Boubaker. The publication information given there is. This page was last edited on 19 Julyat Boubaker polynomials have generated many integer sequences in the w: Boubaker polynomials are the components of a polynomial sequence [1] [2]:.

After several tests and trials, we set the new proposed polynomials, which are the modified Boubaker polynomials defined mainly by Eq.