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

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

2011-10-04

arxiv.org/abs/1110.0580v1

SIGMA 7 (2011), 092, 20 pages

Mathematics

Classical Analysis and ODEs

Scientific paper

10.3842/SIGMA.2011.092

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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