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Reduce Special Functions to Differential Root Objects
Reduce combinations of holonomic functions to DifferentialRoot objects and show that the function satisfies its differential equation and initial value equations.
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f = DifferentialRootReduce[AiryAi[x^2] Sin[x], x]
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In[2]:=

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First[Head[f]][Function[x, AiryAi[x^2] Sin[x]], x]
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In[3]:=

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First[Head[f]][Function[x, AiryAi[x^2] Sin[x]], x];

FullSimplify[%]
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