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The Meijer G function is defined by the inverse Laplace transform
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and L is one of three types of integration paths , , and .
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Contour starts at and finishes at .
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Contour starts at and finishes at .
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Contour starts at and finishes at .
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All the paths , , and put all poles on the right and all other poles of the integrand (which must be of the form ) on the left.
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The classical notation used to represent the MeijerG function relates to the notation used in Maple by
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Note: See Prudnikov, Brychkov, and Marichev.
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The MeijerG function satisfies the following th-order linear differential equation
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where and p is less than or equal to q.
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