In mathematics, the Al-SalamâChihara polynomialsQn(x;a,b;q) are a family of basic hypergeometric
orthogonal polynomials in the basic
Askey scheme, introduced by
Al-Salam and
Chihara (
1976). Roelof Koekoek, Peter A. Lesky, and RenĂŠ F. Swarttouw (
2010, 14.8) give a detailed list of the properties of Al-SalamâChihara polynomials.
Bryc, W., Matysiak, W., & SzabĹowski, P. (2005). Probabilistic aspects of Al-SalamâChihara polynomials. Proceedings of the American Mathematical Society, 133(4), 1127-1134.
Floreanini, R., LeTourneux, J., & Vinet, L. (1997). Symmetry techniques for the Al-Salam-Chihara polynomials. Journal of Physics A: Mathematical and General, 30(9), 3107.
Christiansen, J. S., & Koelink, E. (2008). Self-adjoint difference operators and symmetric Al-SalamâChihara polynomials. Constructive Approximation, 28(2), 199-218.
Ishikawa, M., & Zeng, J. (2009). The AndrewsâStanley partition function and Al-SalamâChihara polynomials. Discrete Mathematics, 309(1), 151-175.
Atakishiyeva, M. K., & Atakishiyev, N. M. (1997). Fourier-Gauss transforms of the Al-Salam-Chihara polynomials. Journal of Physics A: Mathematical and General, 30(19), L655.
In mathematics, the Al-SalamâChihara polynomialsQn(x;a,b;q) are a family of basic hypergeometric
orthogonal polynomials in the basic
Askey scheme, introduced by
Al-Salam and
Chihara (
1976). Roelof Koekoek, Peter A. Lesky, and RenĂŠ F. Swarttouw (
2010, 14.8) give a detailed list of the properties of Al-SalamâChihara polynomials.
Bryc, W., Matysiak, W., & SzabĹowski, P. (2005). Probabilistic aspects of Al-SalamâChihara polynomials. Proceedings of the American Mathematical Society, 133(4), 1127-1134.
Floreanini, R., LeTourneux, J., & Vinet, L. (1997). Symmetry techniques for the Al-Salam-Chihara polynomials. Journal of Physics A: Mathematical and General, 30(9), 3107.
Christiansen, J. S., & Koelink, E. (2008). Self-adjoint difference operators and symmetric Al-SalamâChihara polynomials. Constructive Approximation, 28(2), 199-218.
Ishikawa, M., & Zeng, J. (2009). The AndrewsâStanley partition function and Al-SalamâChihara polynomials. Discrete Mathematics, 309(1), 151-175.
Atakishiyeva, M. K., & Atakishiyev, N. M. (1997). Fourier-Gauss transforms of the Al-Salam-Chihara polynomials. Journal of Physics A: Mathematical and General, 30(19), L655.