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
十月 23, 2023
q梅西纳多项式, 以基本超几何函数定义如下, displaystyle, 极限关系, 编辑, q拉盖尔多项式, 令中b, displaystyle, alpha, nbsp, 以及q, displaystyle, alpha, nbsp, 然后取c, displaystyle, infty, nbsp, 即得q拉盖尔多项式, displaystyle, infty, alpha, alpha, frac, alpha, nbsp, 图集, 编辑, nbsp, qmeixner, polynomials, compl. Q梅西纳多项式以基本超几何函数定义如下 M n q x b c q 2 F 1 q n q x b q q q n 1 c displaystyle M n q x b c q 2 Phi 1 q n q x bq q q n 1 c 极限关系 编辑Q梅西纳多项式 Q拉盖尔多项式 令Q梅西纳多项式中b q a displaystyle b q alpha nbsp 以及q x c q a x displaystyle q x cq alpha x nbsp 然后取c displaystyle c to infty nbsp 即得Q拉盖尔多项式 lim c M n c q a x q a c q q q n q a 1 q n displaystyle lim c to infty M n cq alpha x q alpha c q frac q q n q alpha 1 q n nbsp 图集 编辑 nbsp QMEIXNER POLYNOMIALS ABS COMPLEX 3D MAPLE PLOT nbsp QMEIXNER POLYNOMIALS IM COMPLEX 3D MAPLE PLOT nbsp QMEIXNER POLYNOMIALS RE COMPLEX 3D MAPLE PLOT nbsp QMEIXNER POLYNOMIALS ABS DENSITY MAPLE PLOT nbsp QMEIXNER POLYNOMIALS IM DENSITY MAPLE PLOT nbsp QMEIXNER POLYNOMIALS RE DENSITY MAPLE PLOT参考文献 编辑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梅西纳多项式 amp oldid 74215259, 维基百科，wiki，书籍，书籍，图书馆，
