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小q雅可比多項式

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(重新導向自小q-雅可比多项式


小q-雅可比多項式(Little q-Jacobi polynomials)是一個以基本超幾何函數定義的正交多項式,定義如下[1].

例子

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k=3,

圖集

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LITTLE Q-JACOBI POLYNOMIALS ABS COMPLEX 3D MAPLE PLOT
LITTLE Q-JACOBI POLYNOMIALS IM COMPLEX 3D MAPLE PLOT
LITTLE Q-JACOBI POLYNOMIALS RE COMPLEX 3D MAPLE PLOT
LITTLE Q-JACOBI POLYNOMIALS ABS DENSITY MAPLE PLOT
LITTLE Q-JACOBI POLYNOMIALS IM DENSITY MAPLE PLOT
LITTLE Q-JACOBI POLYNOMIALS RE DENSITY MAPLE PLOT

參考文獻

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  1. ^ Koekoek, Roelof; Lesky, Peter A.; Swarttouw, René F. (2010), Hypergeometric orthogonal polynomials and their q-analogues, Springer Monographs in Mathematics, Berlin