Formula:4894

Digital Library of Mathematical Functions ID 12.10.E33

${\displaystyle{\displaystyle\mathsf{A}_{s+1}(\tau)=-4\tau^{2}(\tau+1)^{2}\frac{\mathrm{d}}{\mathrm{d}\tau}\mathsf{A}_{s}(\tau)-\frac{1}{4}\int_{0}^{\tau}\left(20u^{2}+20u+3\right)\mathsf{A}_{s}(u)\mathrm{d}u,}}$

Constraint(s)

${\displaystyle{\displaystyle s=0,1,2,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle s}}$: nonnegative integer
• ${\displaystyle{\displaystyle\tau}}$: 12.10.E32
 

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