A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials
A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials
复制标题
与 Askey-Wilson 多项式相关的基本超几何级数的二次公式
DOI：
10.1090/s0002-9939-2015-12099-0
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发表时间：
2015
影响因子：
1
通讯作者：
Jiang Zeng
中科院分区：
文献类型：
--
作者：
Victor J.W.Guo;Masao Ishikawa;Hiroyuki Tagawa;Jiang Zeng
本文证明了基本超几何级数的一个一般二次公式，并由此得到了几个新近行列式公式和普氏公式的简单证明。二次公式的一个特例实际上与阿斯基-威尔逊多项式的格拉姆行列式公式有关。我们还展示了如何从牛顿插值公式中推导出最近的Askey-Wilson多项式矩的双和公式。引用
We prove a general quadratic formula for basic hypergeometric series, from which simple proofs of several recent determinant and Pfaffian formulas are obtained. A special case of the quadratic formula is actually related to a Gram determinant formula for Askey-Wilson polynomials. We also show how to derive a recent double-sum formula for the moments of Askey-Wilson polynomials from Newton’s interpolation formula. References