连续q哈恩多项式维基百科,自由的 encyclopedia 连续q-哈恩多项式以基本超几何函数定义:[1] p n ( x ; a , b , c | q ) = a − n e − i n u ( a b e 2 i u , a c , a d ; q ) n ∗ 4 Φ 3 ( q − n , a b c d q n − 1 , a e i t + 2 u , a e − i t ; a b e 2 i u , a c , a d ; q ; q ) {\displaystyle p_{n}(x;a,b,c|q)=a^{-n}e^{-inu}(abe^{2iu},ac,ad;q)_{n}*_{4}\Phi _{3}(q^{-n},abcdq^{n-1},ae^{i{t+2u}},ae^{-it};abe^{2iu},ac,ad;q;q)} 并且 x = c o s ( t + u ) {\displaystyle x=cos(t+u)}
连续q-哈恩多项式以基本超几何函数定义:[1] p n ( x ; a , b , c | q ) = a − n e − i n u ( a b e 2 i u , a c , a d ; q ) n ∗ 4 Φ 3 ( q − n , a b c d q n − 1 , a e i t + 2 u , a e − i t ; a b e 2 i u , a c , a d ; q ; q ) {\displaystyle p_{n}(x;a,b,c|q)=a^{-n}e^{-inu}(abe^{2iu},ac,ad;q)_{n}*_{4}\Phi _{3}(q^{-n},abcdq^{n-1},ae^{i{t+2u}},ae^{-it};abe^{2iu},ac,ad;q;q)} 并且 x = c o s ( t + u ) {\displaystyle x=cos(t+u)}