Connection coefficients for orthogonal polynomials: symbolic computations, verifications and demonstrations in the Mathematica language

• Type: Article in International Scientific Journal
• Date: 2013

Authors

Pascal Maroni (Author) Other; Zelia da Rocha (Author) FCUP

Journal

Title: Numerical Algorithms

Vol. 63

Pages: 507-520

ISSN: 1017-1398

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 10 Citations

Scopus - 10 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-006-9S1

DOI: 10.1007/s11075-012-9634-2

Abstract (EN): We deal with the problem of obtaining closed formulas for the connection coefficients between orthogonal polynomial sequences and, also, the canonical sequence, using a recursive methodology based on symbolic computations, verifications and demonstrations in the Mathematica (A (R)) language. We present the corresponding software that is available in Netlib and, with it, we derive new formulas for the connection coefficients for some semi-classical of class 1 families.

Language: English

Type (Professor's evaluation): Scientific