论文标题
某些经典Q-正交多项式的正交关系的双重形式
Dual forms of the orthogonality relations of some classical q-orthogonal polynomials
论文作者
论文摘要
In this paper, by introducing new matrix operations and using a specific inverse relation, we establish the dual forms of the orthogonality relations for some well-known discrete and continuous $q$-orthogonal polynomials from the Askey-scheme such as the little and big $q$-Jacobi, $q$-Racah, (generalized) $q$-Laguerre, as well as the Askey-Wilson polynomials.作为最有趣的结果之一，我们表明，按照VWP均衡$ \，_ 8DADTACH_7 $系列表示的Askey-Wilson $ Q $ -Beta积分只是Askey-Wilson多项式的正交关系的双重形式。
In this paper, by introducing new matrix operations and using a specific inverse relation, we establish the dual forms of the orthogonality relations for some well-known discrete and continuous $q$-orthogonal polynomials from the Askey-scheme such as the little and big $q$-Jacobi, $q$-Racah, (generalized) $q$-Laguerre, as well as the Askey-Wilson polynomials. As one of the most interesting results, we show that the Askey-Wilson $q$-beta integral represented in terms of the VWP-balanced $\,_8ϕ_7$ series is just a dual form of the orthogonality relation of the Askey-Wilson polynomials.
