New Integral Representations for the Fox–Wright Functions and Its Applications II

In this paper our aim is to establish new integral representations for the Fox–Wright function $${}_{p}\Psi_{q}[^{(\alpha_{p},A_{p})}_{(\beta_{q},B_{q})}|z]$$ when $$\mu=\sum_{j=1}^{q}\beta_{j}-\sum_{k=1}^{p}\alpha_{k}+\frac{p-q}{2}=-m,\;\;m\in\mathbb{N}_{0}.$$ particular, closed-form expressions are derived four parameter Wright under a special restriction on parameters. Exponential bounding inequalities class of function. Moreover, complete monotonicity property presented these functions.