Determine all triples (a,b,c)∈R>03(a,b,c)\in\mathbb{R}_{>0}^{3}(a,b,c)∈R>03 such that 1F2 (ab,c;−x)>0{}_1F_2\!\left(\begin{matrix}a\\ b,c\end{matrix};-x\right)>01F2(ab,c;−x)>0 for every x>0x>0x>0, where…