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Dergiler / 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
Sayfa
—
Yayın Tarihi
2023-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:We refer to the results available in the literature by giving special values to the parameters in the obtained theorems.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (13)

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  13. Sarıkaya, M.Z., Akkurt, A., Budak, H., T¨urkay, M. E.,Yildirim, H., On some special functions for conformable fractional integrals, Konuralp Journal of Mathematics, 8(2)(2020), 376–383.