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For questions about iteration. Use this tag for questions about the repetitive use of processes, functions and or operators.

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Nesting differential operators

Suppose I define differential operators $d=x\frac{\partial}{\partial x}$ and $L=g(x)d^4$ (so that $L(f)=g(x)(x\frac{\partial}{\partial x})^4f$ ) and I want to expand the differential operator $L=a_0+a …