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MeijerG - Meijer G function
Calling Sequence
MeijerG([as, bs], [cs, ds], z)
Parameters
as
-
list of the form [a1, ..., am]; first group of numerator parameters
bs
list of the form [b1, ..., bn]; first group of denominator parameters
cs
list of the form [c1, ..., cp]; second group of numerator parameters
ds
list of the form [d1, ..., dq]; second group of denominator parameters
z
expression
Description
The Meijer G function is defined by the inverse Laplace transform
where
and L is one of three types of integration paths , , and .
Contour starts at and finishes at .
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.
The classical notation used to represent the MeijerG function relates to the notation used in Maple by
Note: See Prudnikov, Brychkov, and Marichev.
The MeijerG function satisfies the following th-order linear differential equation
where and p is less than or equal to q.
Examples
See Also
convert/StandardFunctions, dpolyform, hyperode, ModifiedMeijerG
References
Prudnikov, A. P.; Brychkov, Yu; and Marichev, O. Integrals and Series, Volume 3: More Special Functions. New York: Gordon and Breach Science Publishers, 1990.
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