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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 4

Trigonometric expressions for Gaussian ${}_2F_1$ -series

Wenchang CHU
Pages
1823–1836
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

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

Several closed formulae are derived in terms of trigonometric functions.Some of them are lifted up, via a trigonometric integral approach, to identities of nonterminating 3F2 -series.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The classical Gaussian 2F1 -series containing two free variables fx; yg and two integer parameters fm; ngare investigated by the linearization method.
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Key Findings & Data:The classical Gaussian 2F1 -series containing two free variables fx; yg and two integer parameters fm; ngare investigated by the linearization method.
💡
Conclusion & Impact:Several closed formulae are derived in terms of trigonometric functions.Some of them are lifted up, via a trigonometric integral approach, to identities of nonterminating 3F2 -series.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The classical Gaussian 2F1 -series containing two free variables fx; yg and two integer parameters fm; ngare investigated by the linearization method. Several closed formulae are derived in terms of trigonometric functions.Some of them are lifted up, via a trigonometric integral approach, to identities of nonterminating 3F2 -series.

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Cite This Article

CHU, W. (2022). Trigonometric expressions for Gaussian ${}_2F_1$ -series. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 1823–1836. https://ajindex.com/articles/607644

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