References
- B. Aloui and J. Souissi, Characterization of q-Dunkl-classical symmetric orthogonal q-polynomials, Ramanujan J. 57 (2022), pp. 1355–1365.
- A. Bouanani, L. Khériji, and M.I. Tounsi, Characterization of q-Dunkl Appell symmetric orthogonal q-polynomials, Expo. Math. 28 (2010), pp. 325–336.
- B. Bouras, Y. Habbachi, and F. Marcellán, Characterizations of the symmetric T(θ,q)-classical orthogonal q-polynomials, Mediterr. J. Math. 19 (2022), pp. 66.
- K. Castillo and D. Mbouna, A counterexample to a conjecture of M Ismail, J. Math. Phys. 65 (2024), pp. 033507.
- K. Castillo and D. Mbouna, Epilegomena to the study of semiclassical orthogonal polynomials. arXiv:2307.10331.
- K. Castillo and J. Petronilho, Classical orthogonal polynomials revisited, Res. Math. 78 (2023), pp. 155.
- K. Castillo, G. Filipuk, and D. Mbouna, On classical orthogonal polynomials on bi-lattices. arXiv:2311.05636.
- K. Castillo, D. Mbouna, and J. Petronilho, On the functional equation for classical orthogonal polynomials on lattices, J. Math. Anal. Appl. 515 (2022), pp. 126390.
- T.S. Chihara, An Introduction to Orthogonal Polynomials, Mathematics and Its Applications Vol. 13, Gordon and Breach Science Publishers, New York, 1978.
- C.F. Dunkl, Integral kernels with reflection group invariance, Canad. J. Math. 43 (1991), pp. 1213–1227.
- A. Ghressi and L. Khériji, The symmetrical Hq-semiclassical orthogonal polynomials of class one, SIGMA J. 11 (2009), pp. 076. Article ID 22pp.
- W. Hahn, Über orthogonalpolynome, die q-Differenzengleichungen genügen, Math. Nach. 2 (1949), pp. 4–34.
- L. Khériji and P. Maroni, The Hq-classical orthogonal polynomials, Acta Appl. Math. 71 (2002), pp. 49–115.
- F. Marcellán, A. Branquinho, and J. Petronilho, Classical orthogonal polynomials: A functional approach, Acta. Appl. Math. 34 (1994), pp. 283–303.
- P. Maroni, Une théorie algébrique des polynômes orthogonaux. Application aux polynômes orthogonaux semi-classique, in Orthogonal Polynomials and Their Applications (Erice, 1990), C. Brezinski et al., eds., IMACS Ann. Comput. Appl. Math., Vol. 9, Baltzer, Basel, 1991, pp. 95–130.
- T.J. Stieltjes, Recherches sur les fractions continues, Ann. Fac. Sci. Toulouse 8 (1894), pp. 1–122. 9 (1895), A1–A47.