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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 15 Issue: 1

Catalan Numbers in Terms of $(\alpha, k)-$Gamma Function and $(\alpha, k)-$Beta Function

Abdullah Akkurt(Kahramanmaraş Sütçü İmam Üniversitesi)0000-0001-5644-1276
Huseyin Yıldırım(KAHRAMANMARAŞ SÜTÇÜ İMAM ÜNİVERSİTESİ)0000-0001-8855-9260
Pages
—
Publication Date
2023-06-30
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AI Summary & Key Takeaways

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

We refer to the results available in the literature by giving special values to the parameters in the obtained theorems.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the paper, the authors discuss some extended results involving the Catalan numbers and establish an integral representation of the Catalan numbers in terms of the $(\alpha,k)$-gamma and $(\alpha,k)$-beta function.
📊
Key Findings & Data:In the paper, the authors discuss some extended results involving the Catalan numbers and establish an integral representation of the Catalan numbers in terms of the $(\alpha,k)$-gamma and $(\alpha,k)$-beta function.
💡
Conclusion & Impact:We refer to the results available in the literature by giving special values to the parameters in the obtained theorems.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Catalan number · $(\alpha · k)$-gamma function

Abstract

In the paper, the authors discuss some extended results involving the Catalan numbers and establish an integral representation of the Catalan numbers in terms of the $(\alpha,k)$-gamma and $(\alpha,k)$-beta function. We refer to the results available in the literature by giving special values to the parameters in the obtained theorems.

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Cite This Article

Akkurt, A., Yıldırım, H. (2023). Catalan Numbers in Terms of $(\alpha, k)-$Gamma Function and $(\alpha, k)-$Beta Function. Turkish Journal of Mathematics and Computer Science, Volume: 15 Issue: 1. https://doi.org/10.47000/tjmcs.1182387

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