DLMF:18.10.E10

Math Formula Information

Formula: Failed to parse (unknown function "\HermitepolyH"): {\displaystyle \HermitepolyH{n}@{x}=\frac{(-2i)^{n}e^{x^{2}}}{\pi^{\frac{1}{2}}}\int_{-\infty}^{\infty}e^{-t^{2}}t^{n}e^{2ixt}\diff{t}=\frac{2^{n+1}}{\pi^{\frac{1}{2}}}e^{x^{2}}\int_{0}^{\infty}e^{-t^{2}}t^{n}\cos@{2xt-\tfrac{1}{2}n\pi}\diff{t}.}

Name: DLMF:18.10.E10

Description:

Data Source

https://lct.wmflabs.org/w/index.php?title=Special:EntityPage/Q5634