IJPAM: Volume 97, No. 2 (2014)

SECOND ORDER DIFFERENTIAL-DIFFERENCE
EQUATION FOR DUNKL-CLASSICAL
ORTHOGONAL POLYNOMIALS

J. Alaya$^1$, B. Bouras$^2$, Y. Habbachi$^3$
$^{1,2}$Department of Mathematics
College of Sciences
Qassim University
KINGDOM OF SAUDI ARABIA
$^3$Higher Institute of Applied Mathematics
and Informatics of Kairouan
TUNISIA


Abstract. In this paper, we show that Dunkl-classical polynomial sequences can be characterized by a differential-difference equation.

Received: February 11, 2014

AMS Subject Classification: 33C45, 42C05

Key Words and Phrases: orthogonal polynomials, Dunkl-classical polynomials, regular forms, D-semiclassical polynomials

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DOI: 10.12732/ijpam.v97i2.3 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 97
Issue: 2
Pages: 147 - 160


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