ワリード・アルサラム
表示
ワリード・アルサラム(Waleed Al-Salam、1926年7月15日 - 1996年4月14日)は特殊関数・直交多項式を専門とするイラクの数学者である。バグダード出身。
主な業績
[編集]代表的な論文
[編集]- Al-Salam, W. A.; Chihara, Theodore Seio (1976), "Convolutions of orthonormal polynomials", SIAM Journal on Mathematical Analysis, 7 (1): 16–28.
- Al-Salam, W. A.; Carlitz, L. (1965), "Some orthogonal -polynomials", Mathematische Nachrichten, 30: 47–61.
- Al-Salam, Waleed A.; Ismail, Mourad E. H. (1983), "Orthogonal polynomials associated with the Rogers–Ramanujan continued fraction", en:Pacific Journal of Mathematics, 104 (2): 269–283.
- Al-Salam, W. A. (1966). Some fractional -integrals and -derivatives. Proceedings of the Edinburgh Mathematical Society, 15(2), 135-140.
- Al-Salam, W. A., & Chihara, T. S. (1987). -Pollaczek polynomials and a conjecture of Andrews and Askey. SIAM Journal on Mathematical Analysis, 18(1), 228-242.
- Al-Salam, W. A., & Ismail, M. E. (1977). Reproducing kernels for -Jacobi polynomials. en:Proceedings of the American Mathematical Society, 67(1), 105-110.
- Al-Salam, W. A., & Ismail, M. E. (1988). -beta integrals and the -Hermite polynomials. en:Pacific Journal of Mathematics, 135(2), 209-221.
- Al-Salam, W. A., & Ismail, M. E. (1994). A -beta integral on the unit circle and some biorthogonal rational functions. en:Proceedings of the American Mathematical Society, 121(2), 553-561.
- Al-Salam, W. A., & Verma, A. (1984). On quadratic transformations of basic series. SIAM Journal on Mathematical Analysis, 15(2), 414-421.
関連文献
[編集]- Chihara, Theodore Seio; Ismail, Mourad E. H. (1998), "In memoriam: Waleed Al-Salam (July 15, 1926–April 13, 1996)", Journal of Approximation Theory, 95 (2): 153–160, ISSN 0021-9045, MR 1652868
- Ismail, Mourad E. H. (1999), "Waleed Al-Salam, 1926–1996", in Diejen, Jan Felipe van; Vinet, Luc (eds.), Algebraic methods and q-special functions. Proceedings of the workshop dedicated to the memory of Waleed Al-Salam held at the Université de Montréal, Montréal, QC, May 21–26, 1996, CRM Proc. Lecture Notes, 22, Providence, R.I.: American Mathematical Society, pp. ix–xi, ISBN 978-0-8218-2026-1, MR 1726825
出典
[編集]- ^ Gasper, G., Rahman, M. (2004). Basic hypergeometric series. en:Cambridge University Press.
- ^ Koekoek, R., Lesky, P. A., & Swarttouw, R. F. (2010). Hypergeometric orthogonal polynomials and their -analogues. en:Springer Science & Business Media.