DLMF:18.11.E8

MaRDI QIDQ6339

• Label: DLMF:18.11.E8

Digital Library of Mathematical Functions ID 18.11.E8

${\displaystyle{\displaystyle\lim_{n\to\infty}\frac{(-1)^{n}}{2^{2n}n!}H_{2n+1}\left(\frac{z}{2n^{\frac{1}{2}}}\right)=\frac{2}{\pi^{\frac{1}{2}}}\sin z.}}$

Symbols List

• ${\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}}$: Hermite polynomial
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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