Formula:4164

Digital Library of Mathematical Functions ID 10.23.E13

${\displaystyle{\displaystyle O_{n}\left(t\right)=\frac{1}{4}\sum_{k=0}^{\left\lfloor n/2\right\rfloor}\frac{(n-k-1)!n}{k!}\left(\frac{2}{t}\right)^{n-2k+1},}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle O_{\NVar{n}}\left(\NVar{x}\right)}}$: Neumann’s polynomial
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}$:
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
 

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