Formula:4162

Digital Library of Mathematical Functions ID 10.23.E11

${\displaystyle{\displaystyle a_{k}=\frac{1}{2\pi i}\int_{|z|=c^{\prime}}f(t)O_{k}\left(t\right)\mathrm{d}t,}}$

Constraint(s)

${\displaystyle{\displaystyle 0<c^{\prime}<c}}$

Symbols List

• ${\displaystyle{\displaystyle O_{\NVar{n}}\left(\NVar{x}\right)}}$: Neumann’s polynomial
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle f(t)}}$: f ( t )
 

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