Q拉卡多项式是以基本超几何函数定义的多项式:
极限关系
- Q拉卡多项式→双q哈恩多项式;
在Q拉卡多项式中令以及,即得双q哈恩多项式:
令Q拉卡多项式中, 即得双Q克拉夫楚克多项式
图集
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
参考文献
- Askey, Richard; Wilson, James, A set of orthogonal polynomials that generalize the Racah coefficients or 6-j symbols, SIAM Journal on Mathematical Analysis, 1979, 10 (5): 1008–1016, ISSN 0036-1410, MR 0541097, doi:10.1137/0510092
- Gasper, George; Rahman, Mizan, Basic hypergeometric series, Encyclopedia of Mathematics and its Applications 96 2nd, Cambridge University Press, 2004, ISBN 978-0-521-83357-8, MR 2128719, doi:10.2277/0521833574
- Koekoek, Roelof; Lesky, Peter A.; Swarttouw, René F., Hypergeometric orthogonal polynomials and their q-analogues, Springer Monographs in Mathematics, Berlin, New York: Springer-Verlag, 2010, ISBN 978-3-642-05013-8, MR 2656096, doi:10.1007/978-3-642-05014-5
- Koornwinder, Tom H.; Wong, Roderick S. C.; Koekoek, Roelof; Swarttouw, René F., http://dlmf.nist.gov/18
|contribution-url=
缺少标题 (帮助), Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (编), NIST Handbook of Mathematical Functions, Cambridge University Press, 2010, ISBN 978-0521192255, MR2723248