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Evaluation of nonterminating \(_3F_2(\frac{1}{4})\)-series perturbed by three integer parameters

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Abstract

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.

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Author notes

  1. Wenchang Chu

    Present address: Department of Mathematics and Physics, University of Salento, Lecce, Italy

Authors and Affiliations

  1. School of Statistics, Qufu Normal University, Qufu, Shandong, People’s Republic of China

    Xiaojing Chen

  2. School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou, Henan, People’s Republic of China

    Wenchang Chu

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  1. Xiaojing Chen
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  2. Wenchang Chu
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Correspondence to Wenchang Chu.

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Chen, X., Chu, W. Evaluation of nonterminating \(_3F_2(\frac{1}{4})\)-series perturbed by three integer parameters. Anal.Math.Phys. 11, 67 (2021). https://doi.org/10.1007/s13324-021-00503-6

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