Q梅西納-帕拉澤克多項式定義如下：[1] QMEIXNER-POLLACZEK 2D PLOT P n ( x ; a | q ) = a − n e i n ϕ {\displaystyle P_{n}(x;a|q)=a^{-n}e^{in\phi }} a 2 ; q n ( q ; q ) n {\displaystyle {\frac {a^{2};q_{n}}{(q;q)_{n}}}} 3 Φ 2 ( q − n , a e i ( θ + 2 ϕ ) , a e − i θ ; a 2 , 0 | q ; q ) {\displaystyle _{3}\Phi _{2}(q^{-}n,ae^{i(\theta +2\phi )},ae^{-i\theta };a^{2},0|q;q)} Remove ads極限關係 連續q哈恩多項式→Q梅西納-帕拉澤克多項式 p n ( c o s ( θ + ϕ ) ; a , 0 , 0 , a ; q ) ( q ; q ) n = P n ( c o s ( θ + ϕ ) ; a | q ) {\displaystyle {\frac {p_{n}(cos(\theta +\phi );a,0,0,a;q)}{(q;q)_{n}}}=P_{n}(cos(\theta +\phi );a|q)} Q梅西納-帕拉澤克多項式→連續q超球面多項式 P n ( c o s ϕ ; β | q ) = C n ( c o s ϕ ) ; β | q ) {\displaystyle P_{n}(cos\phi ;\beta |q)=C_{n}(cos\phi );\beta |q)} Q梅西納-帕拉澤克多項式→連續q拉蓋爾多項式 P n ( c o s ( θ + ϕ ) ; q α / 2 + 1 / 2 | q ) = {\displaystyle P_{n}(cos(\theta +\phi );q^{\alpha /2+1/2}|q)=} q ( − α / 2 − 1 / 4 ) ∗ n ∗ P n ( α ) ( c o s θ | q ) {\displaystyle q^{(-\alpha /2-1/4)*n}*P_{n}^{(}\alpha )(cos\theta |q)} Remove ads圖集 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 參考文獻Loading content...Loading related searches...Wikiwand - on Seamless Wikipedia browsing. On steroids.Remove ads
