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
二月 26, 2024
q拉卡多项式, 是以基本超几何函数定义的多项式, displaystyle, left, begin, matrix, matrix, right, 极限关系, 编辑, 双q哈恩多项式, 在中令β, displaystyle, beta, nbsp, 以及α, displaystyle, alpha, nbsp, 即得双q哈恩多项式, displaystyle, gamma, delta, gamma, delta, nbsp, 令中a, displaystyle, nbsp, displaystyle, nbsp. Q拉卡多项式是以基本超几何函数定义的多项式 p n q x q x 1 c d a b c d q 4 ϕ 3 q n a b q n 1 q x q x 1 c d a q b d q c q q q displaystyle p n q x q x 1 cd a b c d q 4 phi 3 left begin matrix q n amp abq n 1 amp q x amp q x 1 cd aq amp bdq amp cq end matrix q q right 极限关系 编辑Q拉卡多项式 双q哈恩多项式 在Q拉卡多项式中令b 0 displaystyle beta 0 nbsp 以及a q q N displaystyle alpha q q N nbsp 即得双q哈恩多项式 R n m x q N 1 0 g d q R n m x g d N q displaystyle R n mu x q N 1 0 gamma delta q R n mu x gamma delta N q nbsp 令Q拉卡多项式中a b displaystyle a b nbsp c q q N displaystyle cq q N nbsp 即得双Q克拉夫楚克多项式图集 编辑 nbsp Q Racah function abs complex 3D PLOT nbsp Q Racah function Im complex 3D PLOT nbsp Q Racah function re density PLOT nbsp Q Racah function abs density PLOT nbsp Q Racah function Im density PLOT nbsp Q Racah function re density PLOT参考文献 编辑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 Rene 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 Rene 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 取自 https zh wikipedia org w index php title Q拉卡多项式 amp oldid 44449238, 维基百科，wiki，书籍，书籍，图书馆，
