连续q哈恩多项式 →Q梅西纳-帕拉泽克多项式
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{\displaystyle {\frac {p_{n}(cos(\theta +\phi );a,0,0,a;q)}{(q;q)_{n}}}=P_{n}(cos(\theta +\phi );a|q)}
Q梅西纳-帕拉泽克多项式 →连续q超球面多项式
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{\displaystyle P_{n}(cos\phi ;\beta |q)=C_{n}(cos\phi );\beta |q)}
Q梅西纳-帕拉泽克多项式 →连续q拉盖尔多项式
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{\displaystyle P_{n}(cos(\theta +\phi );q^{\alpha /2+1/2}|q)=}
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{\displaystyle q^{(-\alpha /2-1/4)*n}*P_{n}^{(}\alpha )(cos\theta |q)}
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
Gasper, George; Rahman, Mizan, Basic hypergeometric series, Encyclopedia of Mathematics and its Applications 96 2nd, Cambridge University Press , 2004, ISBN 978-0-521-83357-8MR 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 978-3-642-05013-8MR 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 , Olver, Frank W. J. ; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (编), NIST Handbook of Mathematical Functions , Cambridge University Press, 2010, ISBN 978-0521192255MR 2723248
Roelof Koekoek, Hypergeometric Orthogonal Polynomials and its q-Analoques, p460,Springer
