On the natural \(q\)-analogues of the classical orthogonal polynomials

Lotfi Khériji; Pascal Maroni

On the natural \(q\)-analogues of the classical orthogonal polynomials

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Authors

Lotfi Khériji
Pascal Maroni

Keywords:

q-derivative operator, q-classical forms, integral representation, discrete measure

Abstract

We study the natural \(q\)-analogues of the Hermite, Laguerre, Jacobi and Bessel \(D\)-classical forms. Their moments and their discrete measure and integral representations are given.

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Published

2013-06-30

How to Cite

Khériji, L., & Maroni, P. (2013). On the natural \(q\)-analogues of the classical orthogonal polynomials. Eurasian Mathematical Journal, 4(2), 82–103. Retrieved from https://emj.enu.kz/index.php/main/article/view/528