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Sept 2003 AN INTRODUCTION TO THE Hq-SEMICLASSICAL ORTHOGONAL POLYNOMIALS
LOTFI KHERIJI
Methods Appl. Anal. 10(3): 387-412 (Sept 2003).

Abstract

Orthogonal polynomials associated with Hq- semiclassical linear form will be studied as a generalization of the Hq-classical linear forms. The concept of class and a criterion for determining it will be given. The q-difference equation that the corresponding formal Stieltjes series satisfies is obtained. Also, the structure relation as well as the second order linear q-difference equation are obtained. Some examples of Hq-semiclassical of class 1 were highlighted.

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LOTFI KHERIJI. "AN INTRODUCTION TO THE Hq-SEMICLASSICAL ORTHOGONAL POLYNOMIALS." Methods Appl. Anal. 10 (3) 387 - 412, Sept 2003.

Information

Published: Sept 2003
First available in Project Euclid: 21 June 2004

zbMATH: 1058.33018
MathSciNet: MR2059943

Rights: Copyright © 2003 International Press of Boston

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Vol.10 • No. 3 • Sept 2003
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