Journal of Inequalities and Applications

Table 5 The effect of the two-tuple Erdélyi-Kober operators on the Meijer's $G_{p, q + 1}^{1, p}$ -function (p <q, p = 0, q = 1)

From: Fractional differintegral transformations of univalent Meijer's G-functions

Operators	Conditions	Transformation
$I_{1, 1}^{a_{2} - 1, b_{3} - a_{2}} I_{1, 1}^{a_{1} - 1, b_{2} - a_{1}}$	b₂ >a₁ and b₃ >a₂	$G_{0, 2}^{1, 0} \to G_{2, 4}^{1, 2} [_{0, 1 - b_{1}, 1 - b_{2}, 1 - b_{3}}^{1 - a_{1}, 1 - a_{2}} \| - z]$
$D_{1, 1}^{b_{3} - 1, a_{2} - b_{3}} I_{1, 1}^{a_{1} - 1, b_{2} - a_{1}}$	b₂ >a₁ and b₃ <a₂	$G_{0, 2}^{1, 0} \to G_{2, 4}^{1, 2}$
$I_{1, 1}^{a_{2} - 1, b_{3} - a_{2}} D_{1, 1}^{b_{1} - 1, a_{1} - b_{2}}$	b₂ <a₁ and b₃ >a₂	$G_{0, 2}^{1, 0} \to G_{2, 4}^{1, 2}$
$D_{1, 1}^{b_{3} - 1, a_{2} - b_{3}} D_{1, 1}^{b_{1} - 1, a_{1} - b_{2}}$	b₂ <a₁ and b₃ <a₂	$G_{0, 2}^{1, 0} \to G_{2, 4}^{1, 2}$

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