Q梅西纳-帕拉泽克多项式

Q梅西纳-帕拉泽克多项式定义如下:[1]

QMEIXNER-POLLACZEK 2D PLOT

极限关系

连续q哈恩多项式Q梅西纳-帕拉泽克多项式

 

Q梅西纳-帕拉泽克多项式连续q超球面多项式

 

Q梅西纳-帕拉泽克多项式连续q拉盖尔多项式

  

图集

 
QMEIXNER-POLLACZEK ABS COMPLEX 3D MAPLE PLOT
 
QMEIXNER-POLLACZEK IM COMPLEX 3D MAPLE PLOT
 
QMEIXNER-POLLACZEK RE COMPLEX 3D MAPLE PLOT
 
QMEIXNER-POLLACZEK ABS DENSITY MAPLE PLOT
 
QMEIXNER-POLLACZEK IM DENSITY MAPLE PLOT
 
QMEIXNER-POLLACZEK RE DENSITY MAPLE PLOT

参考文献

  • 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 
  1. ^ Roelof Koekoek, Hypergeometric Orthogonal Polynomials and its q-Analoques, p460,Springer