Ramanujan倒易公式和Askey-Wilson积分的推广
Generalizations of Ramanujan's reciprocity formula and the Askey-Wilson integral
摘要：
利用两个已知的基本超几何级数的变换公式，建立了Bailey的$_6ψ_6$ -级数恒等式的直接推广.随后，它和米尔恩的身份是驱动多变量的推广拉马努金的互惠公式。然后利用Milne恒等式推导出Askey-Wilson积分的多元推广。
英文摘要：
By using two known transformation formulas for basic hypergeometric series, we establish a direct extension of Bailey's $_6ψ_6$-series identity. Subsequently, it and Milne's identity are employed to drive multi-variable generalizations of Ramanujan's reciprocity formula. Then we utilize also Milne's identity to deduce a multi-variable generalization of the Askey-Wilson integral.
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