DLMF:9.10.E10

MaRDI QIDQ3590

• Label: DLMF:9.10.E10

Digital Library of Mathematical Functions ID 9.10.E10

${\displaystyle{\displaystyle\int z^{n+3}w(z)\mathrm{d}z=z^{n+2}w^{\prime}(z)-(n+2)z^{n+1}w(z)+(n+1)(n+2)\int z^{n}w(z)\mathrm{d}z,}}$

Constraint(s)

${\displaystyle{\displaystyle n=0,1,2,\ldots.}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle w}}$: ODE solution (locally)
 

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