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Journals / Gazi University Journal of Science / 2015 / Volume: 28 Issue: 4

Riemann Zeta Matrix Function

Levent Kargın
Veli Kurt
Pages
—
Publication Date
2015-12-16
DOI
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AI Summary & Key Takeaways

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

We prove a functional equation for Riemann zeta matrix function.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, obtaining the matrix analog of the Euler's reflection formula for the classical gamma function we expand the domain of the gamma matrix function and give a infinite product expansion of sinπxP.
📊
Key Findings & Data:Furthermore we define Riemann zeta matrix function and evaluate some other matrix integrals.
💡
Conclusion & Impact:We prove a functional equation for Riemann zeta matrix function.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Gamma matrix function · Riemann Zeta matrix function · Matrix integrals

Abstract

In this study, obtaining the matrix analog of the Euler's reflection formula for the classical gamma function we expand the domain of the gamma matrix function and give a infinite product expansion of sinπxP. Furthermore we define Riemann zeta matrix function and evaluate some other matrix integrals. We prove a functional equation for Riemann zeta matrix function.

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Cite This Article

Kargın, L., Kurt, V. (2015). Riemann Zeta Matrix Function. Gazi University Journal of Science, Volume: 28 Issue: 4. https://ajindex.com/articles/1269569

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