用 MeijerG 的形式表示函数

用 MeijerG 的形式表示 Sin.

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MeijerGReduce[Sin[x], x]

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恢复原先的表示.

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MeijerGReduce[Sin[x], x]; Activate[%]

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创建表格显示 MeijerG 表示.

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flist = {E^(-x), Sin[x], Cos[x], Sinh[x], Cosh[x], BesselJ[n, x], BesselK[n, x], AiryAi[x], AiryBi[x], Hypergeometric2F1[a, b, c, x], UnitStep[x - 1], UnitBox[x]}; TraditionalForm @ ReplaceAll[ Grid[Map[Style[#, ScriptLevel -> 0] &, Join[{{HoldForm[f[x]], Text["MeijerG Representation"]}}, Transpose[{flist, Map[MeijerGReduce[#, x] &, flist]}]], {2}], Background -> {None, {{None, GrayLevel[.9]}}, {{1, 1} -> Hue[.6, .4, 1], {1, 2} -> Hue[.6, .4, 1]}}, BaseStyle -> {FontFamily -> Times, FontSize -> 13}, Dividers -> All, FrameStyle -> Hue[.6, .4, .8], Spacings -> {2, 1}], Inactive[MeijerG][args__] :> HoldForm[MeijerG[args]]]

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