# Boubaker Polynomials/Sources

Collect and categorize sources regarding Boubaker polynomials on this page. The original list here was taken from a 2011 version of the top-level resource. At this point, only a very few later papers, after 2011, have been added here.
There is a subpage for a sort of sources by date: /by date.
A search on Google scholar for publications on "Boubaker polynomials" since 2012 comes up with 296 results.

## Peer-reviewed papers
### With Boubaker as author or co-author

* "Enhancement of pyrolysis spray disposal performance using thermal time-response to precursor uniform deposition.", Boubaker, K., et al. The European Physical Journal Applied Physics (EPJ AP) 37.01 (2007): 105-109 (Received May 9 2006) (Accepted October 12 2006) (Online publication January 26 2007). w:European_Physical_Journal, w:Springer Science+Business Media
* Boubaker, Karem. "On modified Boubaker polynomials: some differential and analytical properties of the new polynomials issued from an attempt for solving bi-varied heat equation." Trends in Applied Sciences Research 2.6 (2007): 540-544.
* Labiadh, Hedi and Boubaker, K. "A Sturm-Liouville shaped characteristic differential equation as a guide to establish a quasi-polynomial expression to the Boubaker polynomials." Differ. Uravn. Protsessy Upr (2007): 117-133.
* A new polynomial sequence as a guide to numerical solutions for applied-physics-related partial differential equations under Dirichlet-Newman-type exogenous boundary conditions, Karem B. Ben Mahmoud (Département de Physique et de Chimie, École Supérieures des Sciences et des Techniques de Tunis (E.S.S.T.T.)/63 Rue Sidi Jabeur, 5100 Mahdia, Tunisia), Numerical Methods for Partial Differential Equations Volume 25, Issue 4, pages 802–809, July 2009 (online 10 July 2008). w:John Wiley & Sons
* Solution to Heat Equation Inside Cryogenic Vessels Using Boubaker Polynomials K. B. Ben Mahmoud (High School of Sciences and Technologies of Tunis, 5100 Mahdia, Tunisia) J. of Thermophysics and Heat Transfer, Vol. 23, No. 2 (2009), pp. 409-411. w:American Institute of Aeronautics and Astronautics
* Boubaker Polynomials Weak Solutions to a Robin Boundary Conditioned Dynamic-State Heat Transfer Problem, K. ben Mahmoud Boubaker (ESSTT/Laboratoire de Physique de la Matière Condensée, UPDS, Faculté des Sciences de Tunis, 2092 Tunis, Tunisia), International Journal of Heat Transfer, 131(11), 111305 (Aug 25, 2009) (4 pages) w:ASME
* Amlouk-Boubaker expansivity: a BPES-related parameter for optimizing PV-T hybrid solar cell functional materials SANA FRIDJINE (Unité de Physique de Semi-conducteurs, Faculté des Sciences de Tunis, Tunisia), KAREM BOUBAKER (E.S.S.T.TUNIS/63 Rue Sidi Jabeur 5100 Mahdia, Tunisia), MOSBAH AMLOUK (Unité de Physique de Semi-conducteurs, Faculté des Sciences de Tunis, Tunisia), Functional Materials Letters, Volume 02, Issue 01, March 2009. 2 citations shown. w:World Scientific
* Some physical investigations on ZnS1−xSex films obtained by selenization of ZnS sprayed films using the Boubaker polynomials expansion scheme, S. Fridjine, S. Touihri, K. Boubaker, , M. Amlouk, Journal of Crystal Growth Volume 312, Issue 2, 1 January 2010, Pages 202–208 w:Elsevier
* A dynamical model for investigation of A3 point maximal spatial evolution during resistance spot welding using Boubaker polynomials, S. Slama, J. Bessrour, K. Boubaker and M. Bouhafs, The European Physical Journal Applied Physics (EPJ AP) Volume 44 / No 3 (December 2008) Eur. Phys. J. Appl. Phys., 44 3 (2008) 317-322 w:European_Physical_Journal, w:Springer Science+Business Media
* A solution to Bloch NMR flow equations for the analysis of hemodynamic functions of blood flow system using m-Boubaker polynomials, O. Bamidele Awojoyogbe, Karem Boubaker, Current Applied Physics, Volume 9, Issue 1, January 2009, Pages 278–283 w:Elsevier
* Comment on “Enhancement of pyrolysis spray disposal performance using thermal time-response to precursor uniform deposition” by K. Boubaker, A. Chaouachi, M. Amlouk and H. Bouzouita. On the earliest definition of the Boubaker polynomials O. D. Oyodum, O. B. Awojoyogbe, M. Dada, K. B. Ben Mahmoud and J. Magnuson, The European Physical Journal Applied Physics (EPJ AP), Volume 46 / No 2 (May 2009) Eur. Phys. J. Appl. Phys., 46 2 (2009) 21201 w:European_Physical_Journal, w:Springer Science+Business Media
* Investigation of Thermal Diffusivity-Microhardness Correlation Extended to Surface-Nitrured Steel Using Boubaker Polynomials Expansion Ghrib, Taher; Boubaker, Karem; Bouhafs, Mahmoud, Modern Physics Letters B Volume 22, Issue 29, 20 November 2008 w:World Scientific
* A New Parameter:. An Abacus for Optimizing Pv-T Hybrid Solar Device Functional Materials Using the Boubaker Polynomials Expansion Scheme Fridjine, S.; Amlouk, M., Modern Physics Letters B, Volume 23, Issue 17, 10 July 2009 w:World Scientific
* Temperature profiling during the extinction phase of laser keyhole welding using the Boubaker Polynomials Expansion Scheme (BPES) Dada, M.; Awojoyogbe, O. B.; Boubaker, K. Optics & Laser Technology Volume 43, Issue 3, April 2011, Pages 546–549 w:Elsevier
* A method for measuring the specific heat capacity of layered structures using the Boubaker polynomials expansion scheme, K. Boubaker, Journal of Engineering Physics and Thermophysics March 2010, Volume 83, Issue 1, pp 83-89 w:Springer Science+Business Media
* Some physical investigations on ZnS1−xSex films obtained by selenization of ZnS sprayed films using the Boubaker polynomials expansion scheme Fridjine, S.; Touihri, S.; Boubaker, K.; Amlouk, M. Journal of Crystal Growth Volume 312, Issue 2, 1 January 2010, Pages 202–208 w:Elsevier
* Mathematical model of the Bloch NMR flow equations for the analysis of fluid flow in restricted geometries using the Boubaker polynomials expansion scheme Awojoyogbe, O. B.; Faromika, O. P.; Moses, Folorunsho O.; Dada, M.; Boubaker, K.; Fuwape, I. A. Current Applied Physics Volume 10, Issue 1, January 2010, Pages 289–293 w:Elsevier
* Heat transfer spray model: An improved theoretical thermal time-response to uniform layers deposit using Bessel and Boubaker polynomials Dada, M.; Awojoyogbe, O.; Boubaker, K., Current Applied Physics Volume 9, Issue 3, May 2009, Pages 622–624 w:Elsevier
* Numerical Distribution of Temperature as a Guide to Investigation of Melting Point Maximal Front Spatial Evolution During Resistance Spot Welding Using Boubaker Polynomials S. Slama, J. Bessrour, M. Bouhafs & K. B. Ben Mahmoud [Karem Boubaker], Numerical Heat Transfer, Part A: Applications: An International Journal of Computation and Methodology Volume 55, Issue 4, 2009, pp. 401-408 w:Taylor and Francis
* A Boubaker polynomials expansion scheme (BPES)-related protocol for measuring sprayed thin films thermal characteristics S. Lazzez, K.B. Ben Mahmoud [Karem Boubaker], S. Abroug, F. Saadallah, M. Amlouk, Current Applied Physics Volume 9, Issue 5, September 2009, Pages 1129–1133 w:Elsevier
* Mathematical Models of Real Geometrical Factors in Restricted Blood Vessels for the Analysis of CAD (Coronary Artery Diseases) Using Legendre, Boubaker and Bessel Polynomials, O. B. Awojoyogbe, O. P. Faromika, M. Dada, Karem Boubaker, O. S. Ojambati, Journal of Medical Systems, December 2011, Volume 35, Issue 6, pp 1513-1520, [[w:Springer Science+Business Media].
* A Comparative Study of Analytical Solutions to the Coupled Van-der-Pol’s Non-linear Circuits Using the He’s Method (HPEM) and (BPES), Hüseyin Koçak, Ahmet Yıldırım, Dahong Zhang, Karem Boubaker, Syed Tauseef Mohyud-Din, Circuits and Systems Vol.2 No.3, July 2011, PP. 196-200, Scientific Research Publishing w:Scientific Research Publishing open access journal, notice 2014 scandal and other accusations. Not a member of w:Open Access Scholarly Publishers Association.
* Approximation for Transient of Nonlinear Circuits Using RHPM and BPES Methods, H. Vazquez-Leal, K. Boubaker, L. Hernandez-Martinez, and J. Huerta-Chua, Journal of Electrical and Computer Engineering, Volume 2013 (2013), Article ID 973813, 6 pages (Accepted 19 January 2013), w:Hindawi Publishing Corporation member of w:Open Access Scholarly Publishers Association.
* There are many papers by Boubaker published in Hindawi journals. See Hindawi search for "Boubaker" Abd counted 18 by him, some are a different person.
* An attempt to solve the heat transfer equation in a model of pyrolysis spray using 4q-order m-Boubaker polynomials, Jamel GHANOUCHI, Hedi LABIADH, Karem BOUBAKER, International Journal of Heat and Technology, Volume 26 No 1 (2008) 47-51, Edizioni ETS, w:it:Edizioni ETS
* Establishment of an ordinary generating function and a Christoffel-Darboux type first-order differential equation for the heat equation related Boubaker-Turki polynomials Hedi LABIADH, Micahel DADA, Karem B. BEN MAHMOUD, Differential Equations and Control Processes, No 1, 2008, published by the Mathematics and Mechanics Faculty of w:Saint-Petersburg State University."
* Some new Properties of the Applied-physics Related Boubaker Polynomial Tinggang Zhao, B. K. Ben Mahmoud, M. A. Toumi, O. P. Faromika, M. Dada, O. B. Awojoyogbe, J. Magnuson, F. Lin, Differential Equations and Control Processes Issue 2009 #1, published by the Mathematics and Mechanics Faculty of w:Saint-Petersburg State University."
* A Boubaker Polynomials Expansion Scheme (BPES)-related study of metal-oxides functional materials conjoint roughness–hardness properties, S. Dabbous, T. Ben Nasrallah, A. Amlouk, K. Boubaker, M. Bouhafs, M. Amlouk, Materials Science and Engineering: A, Volume 527, Issue 3, 15 January 2010, Pages 862–865 w:Elsevier
* Study of structural and optical properties of sprayed WO3 thin films using enhanced characterization techniques along with the Boubaker Polynomials Expansion Scheme (BPES) S. Dabbous, T. Ben Nasrallah, J. Ouerfelli, K. Boubaker, , M. Amlouk, S. Belgacem, Journal of Alloys and Compounds Volume 487, Issues 1–2, 13 November 2009, Pages 286–292, w:Elsevier
* Study of ytterbium doping effects on structural, mechanical and opto-thermal properties of sprayed ZnO thin films using the Boubaker Polynomials Expansion Scheme (BPES) A. Amlouk, K. Boubaker, M. Amlouk, M. Bouhafs, Journal of Alloys and Compounds, Volume 485, Issues 1–2, 19 October 2009, Pages 887–891, w:Elsevier
* Kepler’s celestial two-body equation: a second attempt to establish a continuous and integrable solution via the BPES : Boubaker Polynomials Expansion Scheme, Karem Boubaker Ben Mahmoud, Astrophysics and Space Science, May 2010, Volume 327, Issue 1, pp 77-81, Springer
* Mathematical model of the Bloch NMR flow equations for the analysis of fluid flow in restricted geometries using the Boubaker polynomials expansion scheme O.B. Awojoyogbe, , O.P. Faromika, Folorunsho O. Moses, M. Dada, K. Boubaker I.A. Fuwape, Current Applied Physics, Volume 10, Issue 1, January 2010, Pages 289–293, w:Elsevier
* A study of sulfur/selenium substitution effects on physical and mechanical properties of vacuum-grown ZnS1−xSex compounds using Boubaker polynomials expansion scheme (BPES) S. Fridjine, K.B. Ben Mahmoud, M. Amlouk, M. Bouhafs Journal of Alloys and Compounds, Volume 479, Issues 1–2, 24 June 2009, Pages 457–461, w:Elsevier
* Morphological and thermal properties of β-SnS2 sprayed thin films using Boubaker polynomials expansion, C. Khélia, K. Boubaker, T. Ben Nasrallah, M. Amlouk, S. Belgacem, Journal of Alloys and Compounds, Volume 477, Issues 1–2, 27 May 2009, Pages 461–467, w:Elsevier
* Temperature 3D profiling in cryogenic cylindrical devices using Boubaker polynomials expansion scheme (BPES) B. Karem Ben Mahmoud, Cryogenics Volume 49, Issue 5, May 2009, Pages 217–220, w:Elsevier
* New ternary compounds stoichiometry-linked thermal behavior optimisation using Boubaker polynomials, S. Lazzez, K.B. Ben Mahmoud, Journal of Alloys and Compounds, Volume 476, Issues 1–2, 12 May 2009, Pages 769–773, w:Elsevier
* Study of temperature 3D profile during weld heating phase using Boubaker polynomials expansion, Salma Slama, Karem Boubaker, Jamel Bessrour, Mahmoud Bouhafs, Thermochimica Acta, Volume 482, Issues 1–2, 15 January 2009, Pages 8–11, w:Elsevier
* Optical modeling of compound CuInS2 using relative dielectric function approach and Boubaker polynomials expansion scheme BPES N. Guezmir, T. Ben Nasrallah, K. Boubaker, M. Amlouk, S. Belgacem, Journal of Alloys and Compounds, Volume 481, Issues 1–2, 29 July 2009, Pages 543–548, w:Elsevier
* SnO2 thin films morphological and optical properties in terms of the Boubaker Polynomials Expansion Scheme BPES-related Opto-Thermal Expansivity ψAB, A. Amlouk, K. Boubaker, M. Amlouk, Journal of Alloys and Compounds, Volume 490, Issues 1–2, 4 February 2010, Pages 602–604, w:Elsevier
* A new analytic expression as a guide to establish a characteristic differential equation to the heat equation-related Boubaker polynomials, Labiadh, Hedi; Boubaker, K. Mahmoud, International Journal of Applied Mathematics, 21, No. 2, 171-177 (2008), Academic Publications contacts.
* Establishment of a Chebyshev-dependent Inhomogeneous Second Order Differential Equation for the Applied Physics-related Boubaker-Turki Polynomials, Micahel Dada, O. Bamidele Awojoyogbe, Nigora Rozibaeva, Karim B. Ben Mahmoud, Applications and Applied Mathematics: An International Journal (AAM), Vol. 3, No. 2 (December 2008) pp. 329 – 336, w:Prairie View A&M University.
* The Boubaker polynomials, a new function class for solving bi-varied second order differential equations, Karem Boubaker, Far East Journal of Applied Mathematics, Volume 31, Issue 3, Pages 299 - 320 (June 2008), Pushpa Publishing House.

### Authors not Boubaker

* A New Parameter:. An Abacus for Optimizing Pv-T Hybrid Solar Device Functional Materials Using the Boubaker Polynomials Expansion Scheme," Fridjine, S.; Amlouk, M. (both of Unité de Physique de Dispositifs à Semiconducteurs (UPDS), Faculté des Sciences de Tunis, Campus Universitaire, 2092 Tunis, Tunisia), Modern Physics Letters B, Volume 23, Issue 17, pp. 2179-2191 (2009) w:World Scientific
* Cut-off cooling velocity profiling inside a keyhole model using the Boubaker polynomials expansion scheme, Tabatabaei, S. Amir Hossein A. E. (Sadra Institute of Higher Education); Zhao, Tinggang (College of Mathematics, Lanzhou City University); Awojoyogbe, O. Bamidele (Department of Physics, Federal University of Technology); Moses, Folorunsho O. (Department of Physics, Federal University of Technology) 08/2009, Heat and Mass Transfer, Volume 45, Issue 10, pp.1247-1251 w:Springer Science+Business Media
* Cut-off cooling velocity profiling inside a keyhole model using the Boubaker polynomials expansion scheme, S. Amir Hossein A. E. Tabatabaei, Tinggang Zhao, O. Bamidele Awojoyogbe, Folorunsho O. Moses, Heat and Mass Transfer, August 2009, Volume 45, Issue 10, pp 1247-1251 w:Springer Science+Business Media
* On the Connection Coefficients of the Chebyshev-Boubaker Polynomials Paul Barry (School of Science, Waterford Institute of Technology, Waterford, Ireland) The Scientific World Journal, Volume 2013 (2013), Article ID 657806, 10 pages w:Hindawai Publishing Company. w:The Scientific World Journal was withdrawn in 2015 from Journal Citation Reports for "anomalous citation patterns."
* The Boubaker Polynomials Expansion Scheme BPES for Solving a Standard Boundary Value Problem, D. H. Zhang and L. Naing, APPS Applied Sciences, TOC of issue, Volume 12 (2010) Pp. 153-157 The Balkan Society of Geometers, Department of Mathematics I, w:Politehnica University of Bucharest.
* A solution to the accelerated-predator-satiety Lotka–Volterra predator–prey problem using Boubaker polynomial expansion scheme, B. Dubey, T.G. Zhao, M. Jonsson, H. Rahmanov, Journal of Theoretical Biology, Volume 264, Issue 1, 7 May 2010, Pages 154–160, w:Elsevier
* The stability of the Boubaker polynomials expansion scheme (BPES)-based solution to Lotka–Volterra problem, A. Milgram, Journal of Theoretical Biology, Volume 271, Issue 1, 21 February 2011, Pages 157–158, w:Elsevier
* Some new features of the Boubaker polynomials expansion scheme BPES, [first pages], T. G. Zhao, L. Naing, W. X. Yue Mathematical Notes (Mat. Zametki), 2010, Volume 87, Issue 2, Pages 175–178, 'w:Springer Science+Business Media
* Boubaker Polynomials Expansion Scheme (BPES) optimisation of copper tin sulfide ternary materials precursor's ratio-related properties, D.H. Zhang, , F.W. Li, Materials Letters, Volume 64, Issue 6, 31 March 2010, Pages 778–780, w:Elsevier
* Study of a non-linear mechanical system using Boubaker polynomials expansion scheme BPES, D.H. Zhang, International Journal of Non-Linear Mechanics, Volume 46, Issue 2, March 2011, Pages 443–445 [w:Elsevier]
* Erratum to “Study of a non-linear mechanical system using Boubaker polynomials expansion scheme BPES” International Journal of Non-Linear Mechanics 46 (2011) 443–445, "The editor regrets to announce that the article mentioned above is a BRIEF NOTE but it was erroneously published as a RESEARCH ARTICLE."
* Analytical expression to temperature-dependent Kirkwood-Fröhlich dipole orientation parameter using the Boubaker Polynomials Expansion Scheme (BPES), H. KoÁak, Z. Dahong, A. Yildirim, Indian Journal of Physics, February 2011, Volume 85, Issue 2, pp 311-317, Springer
* An analytical solution to applied mathematics-related Love’s equation using the Boubaker polynomials expansion scheme, A.S. Kumar, Journal of the Franklin Institute, Volume 347, Issue 9, November 2010, Pages 1755–1761, w:Elsevier
* Experimental and theoretical cooling velocity profile inside laser welded metals using keyhole approximation and Boubaker polynomials expansion Asma Belhadj, Jamel Bessrour, Mahmoud Bouhafs, Laurent Barrallier, Journal of Thermal Analysis and Calorimetry, September 2009, Volume 97, Issue 3, pp 911-915, Springer
* Analytical solutions to the pulsed Klein–Gordon equation using Modified Variational Iteration Method (MVIM) and Boubaker Polynomials Expansion Scheme (BPES) A. Yildirim, S.T. Mohyud-Din, D.H. Zhang, Computers & Mathematics with Applications, Volume 59, Issue 8, April 2010, Pages 2473–2477, w:Elsevier
* A second attempt to establish an analytical expression to steam-water dipole orientation parameter using the Boubaker polynomials expansion scheme, W. X. Yue, H. Koçak, D. H. Zhang, A. Yıldırım, Journal of Structural Chemistry February 2011, Volume 52, Issue 1, pp 106-110, Springer
* Meixner-type results for Riordan arrays and associated integer sequences Paul Barry and Aoife Hennessy, Journal of Integer Sequences, Vol. 13 (2010), Issue 9, Article 10.9.4, School of Computer Science, w:University of Waterloo (Canada)

## Books and encyclopedias

* Encyclopedia of Physics Research, 2011, Eds. Nancy B. Devins and Jillian P. Ramos. "Cryogenics Vessels Thermal Profiling Using the Boubaker Polynomials Expansion Scheme Investigation," Da Hong Zhang, South China University, Guangzhou, P.R. China

## Media sources

The following are believed to have existed at one time.
* "De Khawarizmi à Euler," La Presse Magazine, January 9, 2008 also tunisie7arts.com In French. Links now dead. However, there is internet archive on the tunisie7arts.com page: . The text re Boubaker, it is a book review. Google translation:
       The loneliness of the mathematician was prefaced by a medical physics genius, Mahmoud Karem Abubaker, who somehow broke with 22 polynomials divided and classified since Khawarizmi in the year 830, joining them and outperforming by which he agreed to call now and since 14 April 2007, Boubaker polynomials. Here's what he wrote:
          "I have read and reread this book Jamel Ghannouchi. I put myself in the shoes of the ordinary reader and in that of the connoisseur, and finally in that of academic researcher ... and with each reading, I felt more and more concerned and delighted. Who among us does not have a small intimate story with numbers, with mathematics? Who among us has not been mystified, one day, these Babylonians and the Arab pioneers are Khwarizmi and al-Kashi?
    This is a passing mention, probably not adequate for encyclopedia notability evidence. It does give a date of 14 April 2007 for assigning the name "Boubaker" to the class of polynomials. We may compare this with other sources.
* "Le polynôme de Boubaker," La Presse Magazine, April 22, 2007 issue 1019, page 6 In French. Dead link, not archived. Home page: .
    This would not be a passing mention, from the title. There is a blog, in French, referring to it..

## Peer-reviewed wikis

* w:PlanetMath: Boubaker polynomials, Zhangaini added 2011-01-04, latest version 2013-03-22.
    Discussion on PlanetMath, 2009, objections to publication of Boubaker polynomials
* w:On-Line Encyclopedia of Integer Sequences Search for "Boubaker" yields 14 results.
* MathWorld does not have any mention of "Boubaker" anywhere.
Normally, wikis are not reliable source for the encyclopedia projects. However, PlanetMath and OEIS are peer-reviewed. (Mathworld is essentially one person.) w:Wikipedia:Notability (numbers)#Notability of sequences of numbers guideline has this:
    Have professional mathematicians published papers about this sequence, or chapters in a book, or an entire book about this sequence?
    Do w:MathWorld and w:PlanetMath have articles about this sequence?
    Is this sequence listed in the Online Encyclopedia of Integer Sequences (OEIS)?
    Is there at least one commonly accepted name for this sequence?
    An affirmative answer to these four questions indicates that this sequence is notable for Wikipedia to have an article about it.