Two expansion formulas involving the Rogers–Szegő polynomials with applications
Two expansion formulas involving the Rogers–Szegő polynomials with applications
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DOI：
10.1142/s1793042115500268
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发表时间：
2015-03
影响因子：
0.7
通讯作者：
Zhi-Guo Liu;Jiang Zeng
中科院分区：
文献类型：
--
作者：
Zhi-Guo Liu;Jiang Zeng
利用罗杰斯-塞格尔多项式和斯蒂尔杰斯-威格特多项式的两个展开式，给出了Bailey's 6ψ6和、asky - wilson积分及其推广等一系列重要经典公式的新证明。此外，我们给出了Rogers-Selberg恒等式的Andrews多重版本的非平凡扩展，以及Sylvester恒等式。
Using two expansion formulas for the Rogers–Szegő polynomials and the Stieltjes–Wigert polynomials, we give new proofs of a variety of important classical formulas including Bailey's 6ψ6 summation, the Askey–Wilson integral and its extension. Furthermore, we give nontrivial extensions of the Andrews multiple version of the Rogers–Selberg identity, as well as the Sylvester identity.