Trends in Applied Sciences Research1819-35792151-7908Science International10.3923/tasr.2007.540.544Karem Boubaker 6200726In 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. Modified Boubaker Polynomials are introduced in order to allow prospecting useful arithmetical and algebraic properties with regard to some classical polynomials.]]>Bateman, H. and A. Erdelyi,1953Boubaker, K.,2007Bender, C.M. and G. Dunne,1988Boubaker, K., A. Chaouachi, M. Amlouk and H. Bouzouita,2007Calvetti, D. and L. Reichel,1994Chebyshev, P.L.,1947Guertz, B.J., R.V. Buuren and H. Lu,2000Kiltz, E. and A. Winterhof,2006OPNDA,2007