arXiv subjects

Abdallah Ghressi

Publications and source records attributed to Abdallah Ghressi.

2 recordsLinked to original sources

arXiv2011

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

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.

math.CA↗

arXiv2009

The Symmetrical $H_{q}$-Semiclassical Orthogonal Polynomials of Class One

We investigate the quadratic decomposition and duality to classify symmetrical $H_{q}$-semiclassical orthogonal $q$-polynomials of class one where $H_{q}$ is the Hahn's operator. For any canonical situation, the recurrence coefficients, the $q$-analog of the distributional equation of Pearson type, the moments and integral or discrete representations are given.

math.CA↗