By employing the linearization method and the inversion technique, we establish explicitly analytical formulae for a large class of nonterminating \(_3F_2(\frac{1}{4})\)-series, perturbed by three extra integer parameters. Several closed formulae are presented as examples.

中文翻译：

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受三个整数参数干扰的非终止$$ _ 3F_2（\ frac {1} {4}）$$ 3 F 2（1 4）级数的求值

通过使用线性化方法和反演技术，我们为一类不受终止的\（_ 3F_2（\ frac {1} {4}）\）系列建立了明确的解析公式，该公式受三个额外的整数参数干扰。给出几个封闭式作为示例。