Formula:315

Digital Library of Mathematical Functions ID 1.9.E63

${\displaystyle{\displaystyle f^{(m)}(z)=\sum_{n=0}^{\infty}{\left(n+1\right)_{m}}a_{n+m}(z-z_{0})^{n},}}$

Constraint(s)

${\displaystyle{\displaystyle\left|z-z_{0}\right|<R}}$
${\displaystyle{\displaystyle\left|z-z_{0}\right|<R}}$
${\displaystyle{\displaystyle m=0,1,2,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$:
• ${\displaystyle{\displaystyle z}}$: variable
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle R}}$: radius of convergence (locally)
 

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