Formula:821

Digital Library of Mathematical Functions ID 2.6.E26

${\displaystyle{\displaystyle\lim_{\varepsilon\to 0}\left\langle f_{n},\phi_{\varepsilon}\right\rangle=n!\int_{0}^{\infty}\frac{f_{n,n}(t)}{(t+z)^{n+1}}\mathrm{d}t.}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right\rangle}}$:
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\varepsilon}}$: small positive number
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle f_{n,n}(t)}}$: n th repeated integral
 

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