- Turkish Journal of Mathematics and Computer Science
- Vol: 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 : 19 | Download : 22
Publication Date : 2023-06-30
Article Type : Research Article
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.Keywords : Catalan number, $(\\alpha, k)$-gamma function, $(\\alpha, k)$-beta function