%0 Journal Article %T Laplace transform of some special functions in terms of generalized Meijer \(G\)-functions %A Shah, S. A. H. %A Mubeen, S. %J Journal of Nonlinear Sciences and Applications %D 2022 %V 15 %N 2 %@ ISSN 2008-1901 %F Shah2022 %X The aim of this paper is to prove Laplace transform of some special functions in term of generalized Meijer \(G\)-functions. Some properties of generalized Meijer \(G\)-functions will be discussed. We investigate the Laplace transform of different hypergeometric functions in the form of generalized Meijer \(G\)-functions and hypergeometric functions. We derive Laplace transform of Bessel \(k\)-functions, hyper-Bessel \(k\)-functions, incomplete gamma \(k\)-function, sine \(k\)-integral, sine hyperbolic \(k\)-integral, Kelvin \(k\)-function in the form of generalized Meijer \(G\)-functions. In fact, we provide new approach to find Laplace transform of said functions. %9 journal article %R 10.22436/jnsa.015.02.03 %U http://dx.doi.org/10.22436/jnsa.015.02.03 %P 109--122