Symbolic approach to the general cubic decomposition of polynomial sequences. Results for several orthogonal and symmetric cases

• Type: Article in International Scientific Journal
• Date: 2012

Authors

Mesquita, TA (Author) Other; Da Rocha, Z (Author) FCUP

Journal

Title: Opuscula Mathematica

Vol. 32

Pages: 675-687

ISSN: 1232-9274

Publisher: Akademia Gorniczo-Hutnicza im. S. Staszica w Krakowie.

Indexing

ISI Web of Knowledge

Scopus - 5 Citations

Scientific classification

FOS: Natural sciences

Other information

Authenticus ID: P-008-8KD

DOI: 10.7494/opmath.2012.32.4.675

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific