References
- Chihara TS. An introduction to orthogonal polynomials. New York (NY): Gordon and Breach; 1978.
- Maroni P. Une théorie algébrique des polynômes orthogonaux. Application aux polynômes orthogonaux semi-classiques [An algebraic theory of orthogonal polynomials. Application to semiclassical orthogonal polynomials], Orthogonal polynomials and their applications (Erice, 1990), Brezinski C, Gori L, Ronveaux A, editors. IMACS Ann Comput Appl Math. 1991;9:95–130. Basel: Baltzer.
- Shohat J. A differential equation for orthogonal polynomials. Duke Math J. 1939;5(2):401–417. doi: 10.1215/S0012-7094-39-00534-X
- Alaya J, Maroni P. Symmetric Laguerre-Hahn forms of class s = 1. Integral Transforms Spec Funct. 1996;4(4):301–320. doi: 10.1080/10652469608819117
- Ben Salah I, Maroni P. The connection between self-associated two-dimensional vector functionals and third degree forms. Adv Comput Math. 2000;13(1):51–77. doi: 10.1023/A:1018941924408
- Ghressi A, Khériji L. A survey on D-semiclassical orthogonal polynomials. Appl Math E-Notes. 2010;10:210–234.
- Maroni P, Mejri M. Some semi-classical orthogonal polynomials of class one. Eurasian Math J. 2011;2(2):108–128.
- Tounsi MI, Bouguerra I. Cubic decomposition of a family of semiclassical polynomial sequences of class one. Integral Transforms Spec Funct. 2015;26(5):377–394. doi: 10.1080/10652469.2015.1011637
- Barhoumi N, Ben Salah I. Characterizations of a special family of third-degree semi-classical forms of class one. Integral Transforms Spec Funct. 2013;24(4):280–288. doi: 10.1080/10652469.2012.688747
- Ben Salah I. Third degree classical forms. Appl Numer Math. 2003;44(4):433–447. doi: 10.1016/S0168-9274(02)00189-7
- Maroni P, Mejri M. Some perturbed sequences of order one of the Chebyshev polynomials of second kind. Integral Transforms Spec Funct. 2013;25(1):44–60. doi: 10.1080/10652469.2013.814049
- Atia MJ. Some symmetric semi-classical orthogonal polynomials of class. Integral Transforms Spec Funct. 2006;17(7):469–483. doi: 10.1080/10652460600725085
- Atia MJ. An example of non-symmetric semi-classical form of class s = 1; generalization of a case of Jacobi sequence. Int J Math Math Sci. 2000;24(10):673–689. doi: 10.1155/S0161171200004671
- Ghressi A, Khériji L. Some new results about a symmetric D-semiclassical linear form of class one. Taiwanese J Math. 2007;11(2):371–382. doi: 10.11650/twjm/1500404695
- Maroni P, Tounsi MI. Quadratic decomposition of symmetric semi-classical polynomial sequences of even class. An example from the case s = 2. J Difference Equ Appl. 2012;18(9):1519–1530. doi: 10.1080/10236198.2011.579118
- Maroni P, Mesquita TA, da Rocha Z. On the general cubic decomposition of polynomial sequences. J Difference Equ Appl. 2011;17(9):1303–1332. doi: 10.1080/10236190903527236
- Castillo K, de Jesus MN, Petronilho J. On semiclassical orthogonal polynomials via polynomial mappings. J Math Anal Appl. 2017;455(2):1801–1821. doi: 10.1016/j.jmaa.2017.06.072
- Maroni P. An introduction to second degree forms. Adv Comput Math. 1995;3(1–2):59–88. doi: 10.1007/BF02431996
- Beghdadi D, Maroni P. Second degree classical forms. Indag Math NS. 1997;8(4):439–452. doi: 10.1016/S0019-3577(97)81550-9
- Bertin MJ, Decomps-Guilloux A, Grandet-Hugot M, et al. Pisot and Salem numbers. Basel: Birkhäuser Verlag; 1992.
- Maroni P. Fonctions eulériennes. Techniques de l'Ingénieur, traité Généralités (Sciences Fondamentales). 1994;A154:1–30.