Publish with us
Search for Articles:

Contents

Open Journal of Mathematical Analysis (OMA)

ISSN: 2616-8111 (Online) 2616-8103 (Print)
Full-Text PDF
  • Research article

Stieltjes function and \(q\)-Laguerre-Hahn character

M. Maalaoui1, T. Marzouki1, M. Mejri1
1Institut Préparatoire aux études d’ingénieur El Manar, Université Tunis El Manar. Campus universitaire El Manar-B.P, 244 El Manar II, Tunis 2092, Tunisia
Copyright © M. Maalaoui, T. Marzouki, M. Mejri. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • Received: 06/01/2026
  • Accepted: 02/03/2026
  • Published: 30/04/2026

Abstract

In this work, we prove that the formal Stieltjes of q-Laguerre -hahn forms is a solution of many q-Ricatti equations. As a consequence , we show that the class of those forms depends on k ∈ ℕ. Some examples are highlighted.

Keywords: q-difference equation, Stieltjes Function, Hq-semi-classical, q-Laguerre-Hahn polynomials