52
Views
0
CrossRef citations to date
0
Altmetric
Research Article

The symmetric Dw-Laguerre–Hahn orthogonal polynomial of class one

&
Pages 105-127 | Received 12 Oct 2021, Accepted 21 Jun 2022, Published online: 06 Jul 2022

References

  • Alaya J, Maroni P. Symmetric Laguerre–Hahn forms of class s = 1. Integral Transforms Spec Funct. 1996;4(4):301–320.
  • Bouakkaz H, Maroni P. Description of Laguerre–Hahn orthogonal polynomials of class zero. In: Brezinski C, Gori L, Ronveaux A, editors. Orthoggonals polynomials and their applications; (Erice, 1990). Basel: Baltzer; 1991. p. 189–194. (IMACS ann. comput. appl. math.; 9).
  • Filipuk G, Rebocho MN. Classification of Laguerre–Hahn Orthogonal polynomials of class one. Math Nachr. 2020;293(2):244–262.
  • Foupouagnigni M, Marcellàn F. Characterization of the Dw-Laguerre–Hahn functionals. J Difference Equ Appl. 2002;8(8):689–717.
  • Magnus A. Riccati acceleration of Jacobi continued fractions and Laguerre–Hahn orthogonal polynomials. In: Padé approximation and its applications; (Bad Honnef, 1983). Berlin: Springer; 1984. p. 213–230. (Lecture notes in math.; vol. 1071).
  • Marcellán F, Prianes P. Orthogonal polynomials and Stieltjes functions: the Laguerre–Hahn case. Rend di Mat Ser VII. 1996;16:117–141.
  • Marcellàn F, Dehesa JS, Ronveaux A. On orthogonal polynomials with perturbed recurrence relation. J Comput Appl Math. 1990;30:203–212.
  • Maroni P. Une théorie algébrique des polynômes orthogonaux. Application aux polynômes orthogonaux semi-classiques. In: Brezinski C, Gori L, Ronveaux A, editors. Orthogonal polynomials and their applications; (Eric, 1990). Basel: Baltzer; 1991. p. 95–130. (IMACS ann. comput. appl. math.; 9).
  • Abdelkarim F. Les polynômes Dw-classiques et les polynômes Dw-Laguerre–Hahn [Thèse de Doctorat]. Université de Tunis II; 1998.
  • Sghaier M, Zaatra M. Dw-Laguerre–Hahn forms of class zero. Mediterr J Math. 2020;17(6):185–212.
  • Maroni P. Variations around classical polynomials: connected problems. J Comput Appl Math. 1993;48:133–155.
  • Maroni P. An introduction to second degree forms. Adv Comput Math. 1995;3:59–88.
  • Chihara TS. An introduction to orthogonal polynomials. New York: Gordon and Breach; 1978.
  • Hahn W. Über Orthogonalpolynome, die q-Differenezengleichungen genügen. Math Nachr. 1949;2:4–34.
  • Abdelkarim F, Maroni P. The Dw-classical orthogonal polynomials. Results Math. 1997;32(1–2):1–28.
  • Maroni P, Mejri M. The symmetric Dw-semiclassical orthogonal polynomials of class one. Numer Algorithms. 2008;49:251–282.
  • Zaatra M. Laguerre–Freud equations associated with the Hq-semi-classical forms of class one. Filomat. 2018;32(19):6769–6787.
  • Sghaier M, Zaatra M, Khlifi A. Laguerre–Freud equations associated with the D-Laguerre–Hahn forms of class one. Adv Pure Appl Math. 2019;10(4):395–411.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.