Methods and Applications of Analysis

AN INTRODUCTION TO THE Hq-SEMICLASSICAL ORTHOGONAL POLYNOMIALS

LOTFI KHERIJI

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.

Article information

Source
Methods Appl. Anal., Volume 10, Number 3 (2003), 387-412.

Dates
First available in Project Euclid: 21 June 2004

Permanent link to this document
https://projecteuclid.org/euclid.maa/1087841036

Mathematical Reviews number (MathSciNet)
MR2059943

Zentralblatt MATH identifier
1058.33018

Citation

KHERIJI, LOTFI. AN INTRODUCTION TO THE H q -SEMICLASSICAL ORTHOGONAL POLYNOMIALS. Methods Appl. Anal. 10 (2003), no. 3, 387--412. https://projecteuclid.org/euclid.maa/1087841036


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