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

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Turkish Journal of Mathematics and Computer Science
Volume:15 Issue:1
Catalan Numbers in Terms of $(alpha, k)-$Gamma Function and $(alpha, k)-$Beta Function

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

Authors : Abdullah AKKURT, Huseyin YILDIRIM

Pages : 164-170

Doi:10.47000/tjmcs.1182387

View : 51 | Download : 32

Publication Date : 2023-06-30

Article Type : Research Paper

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 $insert ignore into journalissuearticles values(\\alpha,k);$-gamma and $insert ignore into journalissuearticles values(\\alpha,k);$-beta function. We refer to the results available in the literature by giving special values to the parameters in the obtained theorems.
Keywords : Catalan number, alpha, k, gamma function, alpha, k, beta function

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