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Create New Forms of Parameterized Special Functions
Directly create new special functions as solutions to differential equations.
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f = DifferentialRoot[

  Function[{y, x}, {y''[x] + x^5 y[x] == 0, y[0] == 0, y'[0] == 1}]]
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Plot[f[x], {x, 0, 7}]
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Series[f[x], {x, 0, 50}]
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