Sarıkaya, Mehmet ZekiAkkurt, AbdullahBudak, HüseyinTürkay, Merve EsraYildirim, Hüseyin2025-03-242025-03-2420202147-625Xhttps://hdl.handle.net/20.500.12684/20089In this paper, we introduce the $\left( \alpha ,k\right) $-gamma function$,\ \left( \alpha ,k\right) $-beta function, Pochhammer symbol $\left( x\right) _{n,k}^{\alpha }\ $and Laplace transforms for conformable fractional integrals. We prove several properties generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. The results presented here would provide generalizations of those given in earlier works.                                                                                                                                                                                                                                                      eninfo:eu-repo/semantics/openAccessGamma function|beta function|Pochhammer symbol|confromable fractional integralsArticle82376383