论文标题

终止Askey-Wilson多项式的基本高几何表示和转换

Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials

论文作者

Cohl, Howard S., Costas-Santos, Roberto S., Ge, Linus

论文摘要

在这篇调查文件中,我们详尽地探讨了Askey-Wilson多项式的终止基本高几何表示,以及这些多项式满足的相应终止基本的超几何变换。从这些多项式的终止基本高几何表示,并且由于其自由参数的对称性,我们能够详尽地探索这些多项式满足的终止基本的高几何转换公式。

In this survey paper, we exhaustively explore the terminating basic hypergeometric representations of the Askey-Wilson polynomials and the corresponding terminating basic hypergeometric transformations that these polynomials satisfy. From the terminating basic hypergeometric representations of these polynomials, and due to symmetry in their free parameters, we are able to exhaustively explore the terminating basic hypergeometric transformation formulae which these polynomials satisfy.

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