We combine an extended version of Bailey’s transform with an identity of Bressoud and with some identities of Berkovich and Warnaar to prove a variety of positivity results for alternating sums involving partition functions.

中文翻译：

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整数分区的正交替和

我们将Bailey变换的扩展版本与Bressoud的标识以及Berkovich和Warnaar的标识进行组合，以证明涉及分隔函数的交替总和的各种阳性结果。