Formula:4388

Digital Library of Mathematical Functions ID 10.49.E1

${\displaystyle{\displaystyle a_{k}(n+\tfrac{1}{2})=\begin{cases}\dfrac{(n+k)!}{2^{k}k!(n-k)!},&k=0,1,\ldots,n,\\ 0,&k=n+1,n+2,\ldots.\end{cases}}}$

Symbols List

• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle a_{k}(\nu)}}$: expansion (locally)
 

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