Title: Fractional Calculus and certain integrals of Generalized multiindex Bessel function,
Abstract: We aim to introduce the generalized multiindex Bessel function $J_{\left(
\beta _{j}\right) _{m},\kappa ,b}^{\left( \alpha _{j}\right)_{m},\gamma
,c}\left[ z\right] $ and to present some formulas of the Riemann-Liouville
fractional integration and differentiation operators. Further, we also derive
certain integral formulas involving the newly defined generalized multiindex
Bessel function $J_{\left( \beta _{j}\right) _{m},\kappa ,b}^{\left( \alpha
_{j}\right)_{m},\gamma ,c}\left[ z\right] $. We prove that such integrals are
expressed in terms of the Fox-Wright function $_{p}\Psi_{q}(z)$. The results
presented here are of general in nature and easily reducible to new and known
results.