Abstract
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 \(\mu=\sum_{j=1}^{q}\beta_{j}-\sum_{k=1}^{p}\alpha_{k}+\frac{p-q}{2}=-m,\;\;m\in\mathbb{N}_{0}.\) In particular, closed-form integral expressions are derived for the four parameter Wright function under a special restriction on parameters. Exponential bounding inequalities are derived for a class of the Fox–Wright function. Moreover, complete monotonicity property is presented for these functions.
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Mehrez, K. New Integral Representations for the Fox–Wright Functions and Its Applications II. J. Contemp. Mathemat. Anal. 56, 37–45 (2021). https://doi.org/10.3103/S1068362321010052
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DOI: https://doi.org/10.3103/S1068362321010052