Geodesic
Methods for computing $q$-polynomials
Matematičeskoe modelirovanie, Tome 13 (2001) no. 8, pp. 85-94.

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The methods of computing the classical orthogonal polynomials of a discrete variable (called qpolynomials) are considered. Some difficulties connected with the instability of a calculation in all range of polynomial definition are discussed. These difficulties are illustrated on results of computing the Hahn polynomials. The stability of computational schemes with reference to round-off errors is investigated. Stable method of calculation is proposed. The calculations of Hahn and $q$-Hahn polynomials are carried out with fine accuracy. 
@article{MM_2001_13_8_a8,
     author = {A. F. Nikiforov and M. V. Skachkov},
     title = {Methods for computing $q$-polynomials},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {85--94},
     publisher = {mathdoc},
     volume = {13},
     number = {8},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2001_13_8_a8/}
}
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A. F. Nikiforov; M. V. Skachkov. Methods for computing $q$-polynomials. Matematičeskoe modelirovanie, Tome 13 (2001) no. 8, pp. 85-94. http://geodesic.mathdoc.fr/item/MM_2001_13_8_a8/