Communications of the
Korean Mathematical Society CKMS

Generalized integral formulas involving the generalized modified $k$-Bessel function $J_{k,\nu }^{b,c,\gamma ,\lambda }\left( z\right) $ of first kind are expressed in terms generalized Wright functions. Some interesting special cases of the main results are also discussed

Keywords: $k$-Bessel function, Gamma function, hypergeometric function $_{2}F_{1}$, generalized hypergeometric function $_{p}F_{q}$, generalized (Wright) hypergeometric functions $_{p}\Psi _{q}$, Oberhettinger's integral formula

MSC numbers: 33C20, 33B15, 33C05, 33C10