inttrans[mellin] - Mellin transform
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Calling Sequence
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mellin(expr, x, s)
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Parameters
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expr
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expression to be transformed
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x
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variable expr is transformed with respect to x
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s
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parameter of transform
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opt
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option to run this under (optional)
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Description
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The function mellin computes the Mellin transform (M(s)) of expr (m(x)) with respect to x, using the definition
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The mellin function attempts to reduce the expression according to a set of simplification rules and then tries to match the reduced expression against an internal table of basic Mellin transforms.
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Users can add their own functions to mellin's internal lookup table by using the addtable function.
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If the option opt is set to 'NO_INT', then the program will not resort to integration of the original problem if all other methods fail. This will increase the speed at which the transform will run.
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The command with(inttrans,mellin) allows the use of the abbreviated form of this command.
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Examples
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