TY  - JOUR
ID  - Mesquita2012
LB  - Mesquita2012
AU  - Mesquita, Teresa A.
AU  - Da Rocha, Z.
TI  - Symbolic approach to the general cubic decomposition of polynomial sequences. Results for several orthogonal and symmetric cases
ST  - Symbolic approach to the general cubic decomposition of polynomial sequences. Results for several orthogonal and symmetric cases
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2012
VL  - 32
IS  - 4
SP  - 675
EP  - 687
DO  - http://dx.doi.org/10.7494/OpMath.2012.32.4.675
UR  - http://dx.doi.org/10.7494/OpMath.2012.32.4.675
AB  - We deal with a symbolic approach to the cubic decomposition (CD) of polynomial sequences - presented in a previous article referenced herein - which allows us to compute explicitly the first elements of the nine component sequences of a CD. Properties are investigated and several experimental results are discussed, related to the CD of some widely known orthogonal sequences. Results concerning the symmetric character of the component sequences are established.
KW  - symmetric polynomials
KW  - orthogonal polynomials
KW  - cubic decomposition
KW  - symbolic computations
KW  - Mathematica 8.0.1.0
SN  - 1232-9274
ER  -