The t-coefficient method to partial theta function identities and Ramanujan’s 1ψ1 summation formula
The t-coefficient method to partial theta function identities and Ramanujan’s 1ψ1 summation formula
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DOI：
10.1016/j.jmaa.2012.07.010
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发表时间：
2012-12
影响因子：
1.3
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中科院分区：
文献类型：
--
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本文讨论了基本超几何级数的一种统一方法--t系数法。利用这种方法，得到了Alladi和Berkovich（2004）[8]，Andrews和Warnaar（2007）[4]，Berkovich [5]和Warnaar（2003）[2]等4个部分theta函数恒等式以及Ramanujan的1 <$1求和公式的新的初等证明.
This paper is concerned with a uniform approach–the t-coefficient method–to basic hypergeometric series. By virtue of this method, some new and elementary proofs for four partial theta function identities due to Alladi and Berkovich (2004) [8], Andrews and Warnaar (2007) [4], Berkovich [5] and Warnaar (2003) [2], as well as for Ramanujan’s1ψ1summation formula are obtained.