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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 2

Transformation formulae for terminating balanced $_4F_3$-series and implications

Wenchang Chu(University of Salento)0000-0002-8425-212X
Pages
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Publication Date
2023-03-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

By means of Whipple's transformation, further closed form evaluations are given for terminating well--poised $_7F_6$-series as applications.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A new transformation from terminating balanced $_4F_3$-series to $_3F_2$-series is proved that contains a few known summation formulae as special cases.
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Key Findings & Data:A new transformation from terminating balanced $_4F_3$-series to $_3F_2$-series is proved that contains a few known summation formulae as special cases.
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Conclusion & Impact:By means of Whipple's transformation, further closed form evaluations are given for terminating well--poised $_7F_6$-series as applications.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Classical hypergeometric series · balanced series · well–poised series

Abstract

A new transformation from terminating balanced $_4F_3$-series to $_3F_2$-series is proved that contains a few known summation formulae as special cases. By means of Whipple's transformation, further closed form evaluations are given for terminating well--poised $_7F_6$-series as applications.

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Cite This Article

Chu, W. (2023). Transformation formulae for terminating balanced $_4F_3$-series and implications. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 2. https://doi.org/10.15672/hujms.1116891

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