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arXiv · 1110.0580

An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials

Abdallah Ghressi·Lotfi Khériji·Mohamed Ihsen Tounsi
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Abstract

Orthogonal q-polynomials associated with q-Laguerre-Hahn form will be studied as a generalization of the q-semiclassical forms via a suitable q-difference equation. The concept of class and a criterion to determinate it will be given. The q-Riccati equation satisfied by the corresponding formal Stieltjes series is obtained. Also, the structure relation is established. Some illustrative examples are highlighted.

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Abdallah Ghressi, Lotfi Khériji, Mohamed Ihsen Tounsi. 2011-10-04. An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials. https://doi.org/10.3842/sigma.2011.092

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