Some Integral Representations of the $$_pR_q(\alpha ,\beta ;z)$$ Function

In this article, we determine the Fourier transform ($$\mathtt {FT}$$) representation of $$_pR_q(\alpha ,\beta ;z)$$ function which generates distributional representation. Further we use this representation to obtain the integral of products of two $$_pR_q(\alpha ,\beta ;z)$$ functions by employing the Parseval’s identity of Fourier transform. We also set up some new integral representations of $${}_{q+1}R_q(\cdot )$$ function which have some particular cases in the light of Konhauser polynomial and Laguerre polynomial.