On moments of classical orthogonal polynomials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:424

Article

Sadjang, P. Njionou¹  Koepf, W.²  Foupouagnigni, M.^1,3 

[1] Univ Yaounde I, Higher Teachers Training Coll, Dept Math, Yaounde, Cameroon

[2] Univ Kassel, Inst Math, D-84132 Kassel, Germany

[3] African Inst Math Sci, Limbe, Cameroon

关键词: Inversion coefficients;    Canonical moments;    Generalized moments;    Orthogonal polynomials;    Askey-Wilson scheme;   

DOI  :  10.1016/j.jmaa.2014.10.087

来源: Elsevier

【 摘 要 】

In this work, using the inversion coefficients and some connection coefficients between some polynomial sets, we give explicit representations of the moments of all the orthogonal polynomials belonging to the Askey-Wilson scheme. Generating functions for some of these moments are also provided. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free