I'd like to convert
MeijerG[{{}, {1., 1.}}, {{0., 0., 4.}, {}}, -1. T λ]
to its Standard Functions (For example Bessel function or ...). Any suggestion?
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1 Answer
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2
From the documentation on MeijerG,
Use
FunctionExpandto expandMeijerGinto simpler functions:
FunctionExpand@
MeijerG[{{}, {1, 1}}, {{0, 0, 4}, {}}, -T λ]
(* -11 + 11 E^(T λ) + 6 EulerGamma -
5 E^(T λ) T λ + E^(T λ) T^2 λ^2 +
6 (11/6 - EulerGamma - Log[-T λ]) + 6 Log[-T λ] +
6 (-ExpIntegralEi[T λ] - Log[-T λ] +
1/2 (-Log[1/(T λ)] + Log[T λ])) *)
Note this doesn't work if you use floats instead of integers,
FunctionExpand@
MeijerG[{{}, {1., 1.}}, {{0., 0., 4.}, {}}, -1.0 T λ]
(* MeijerG[{{}, {1., 1.}}, {{0., 0., 4.}, {}}, -1. T λ] *)
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2$\begingroup$ For a simpler form use
MeijerG[{{}, {1., 1.}}, {{0., 0., 4.}, {}}, -1. T \[Lambda]] // Rationalize // FunctionExpand // FullSimplify$\endgroup$ Dec 17, 2015 at 15:08 -
$\begingroup$ Why would you introduce rationalize and Fullsimplify to the expression ? $\endgroup$ Nov 21, 2020 at 6:11