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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 5

Nonterminating well–poised hypergeometric series

Wenchang Chu(Zhoukou Normal University)0000-0002-8425-212X
Pages
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Publication Date
2020-10-06
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⚡ TL;DR(Too Long; Didn't Read)

Two classes of nonterminating well--poised series are examined by means of the modified Abel lemma on summation by parts, that leads to several summation and transformation formulae. ******************************************************************************************************************* ******************************************************************************************************************* ******************************************************************************************************************* *******************************************************************************************************************

📌 3 Key Takeaways

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Objective & Hypothesis:Two classes of nonterminating well--poised series are examined by means of the modified Abel lemma on summation by parts, that leads to several summation and transformation formulae. ******************************************************************************************************************* ******************************************************************************************************************* ******************************************************************************************************************* *******************************************************************************************************************
📊
Key Findings & Data:Two classes of nonterminating well--poised series are examined by means of the modified Abel lemma on summation by parts, that leads to several summation and transformation formulae. ******************************************************************************************************************* ******************************************************************************************************************* ******************************************************************************************************************* *******************************************************************************************************************
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Conclusion & Impact:Two classes of nonterminating well--poised series are examined by means of the modified Abel lemma on summation by parts, that leads to several summation and transformation formulae. ******************************************************************************************************************* ******************************************************************************************************************* ******************************************************************************************************************* *******************************************************************************************************************
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Classical hypergeometric series · Abel's lemma on summation by parts · Pfaff–Saalschütz theorem

Abstract

Two classes of nonterminating well--poised series are examined by means of the modified Abel lemma on summation by parts, that leads to several summation and transformation formulae. ******************************************************************************************************************* ******************************************************************************************************************* ******************************************************************************************************************* *******************************************************************************************************************

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Cite This Article

Chu, W. (2020). Nonterminating well–poised hypergeometric series. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 5. https://doi.org/10.15672/hujms.548103

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